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Finding the Fourth Proportional to 210,009.92, 314,664.20 and 147,568.64

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Solution

The fourth proportional to 210,009.92, 314,664.20 and 147,568.64 is: 221,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.92 : 314,664.20 = 147,568.64 : x
  2. Step 2: Convert to fraction form
    210,009.92/314,664.20 = 147,568.64/x
  3. Step 3: Cross multiply
    210,009.92x = 314,664.20 × 147,568.64
  4. Step 4: Simplify right side
    210,009.92x = 46,434,568,050.69
  5. Step 5: Solve for x
    x = 46,434,568,050.69/210,009.92
  6. Step 6: Final answer
    x = 221,106.55

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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.