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Finding the Fourth Proportional to 317,057.76, 475,639.16 and 157,141.22

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Solution

The fourth proportional to 317,057.76, 475,639.16 and 157,141.22 is: 235,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,057.76 : 475,639.16 = 157,141.22 : x
  2. Step 2: Convert to fraction form
    317,057.76/475,639.16 = 157,141.22/x
  3. Step 3: Cross multiply
    317,057.76x = 475,639.16 × 157,141.22
  4. Step 4: Simplify right side
    317,057.76x = 74,742,514,718.27
  5. Step 5: Solve for x
    x = 74,742,514,718.27/317,057.76
  6. Step 6: Final answer
    x = 235,737.85

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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.