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Finding the Fourth Proportional to 210,035.84, 314,703.20 and 147,594.56

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Solution

The fourth proportional to 210,035.84, 314,703.20 and 147,594.56 is: 221,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,035.84 : 314,703.20 = 147,594.56 : x
  2. Step 2: Convert to fraction form
    210,035.84/314,703.20 = 147,594.56/x
  3. Step 3: Cross multiply
    210,035.84x = 314,703.20 × 147,594.56
  4. Step 4: Simplify right side
    210,035.84x = 46,448,480,334.59
  5. Step 5: Solve for x
    x = 46,448,480,334.59/210,035.84
  6. Step 6: Final answer
    x = 221,145.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.