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Finding the Fourth Proportional to 190,289, 262,598.84 and 105,411.56

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Solution

The fourth proportional to 190,289, 262,598.84 and 105,411.56 is: 145,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,289 : 262,598.84 = 105,411.56 : x
  2. Step 2: Convert to fraction form
    190,289/262,598.84 = 105,411.56/x
  3. Step 3: Cross multiply
    190,289x = 262,598.84 × 105,411.56
  4. Step 4: Simplify right side
    190,289x = 27,680,953,378.59
  5. Step 5: Solve for x
    x = 27,680,953,378.59/190,289
  6. Step 6: Final answer
    x = 145,467.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.