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Finding the Fourth Proportional to 257,586.11, 386,106.47 and 86,645.10

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Solution

The fourth proportional to 257,586.11, 386,106.47 and 86,645.10 is: 129,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,586.11 : 386,106.47 = 86,645.10 : x
  2. Step 2: Convert to fraction form
    257,586.11/386,106.47 = 86,645.10/x
  3. Step 3: Cross multiply
    257,586.11x = 386,106.47 × 86,645.10
  4. Step 4: Simplify right side
    257,586.11x = 33,454,232,147.59
  5. Step 5: Solve for x
    x = 33,454,232,147.59/257,586.11
  6. Step 6: Final answer
    x = 129,875.92

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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.