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Finding the Fourth Proportional to 317,318.16, 475,978.80 and 106,957.92

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Solution

The fourth proportional to 317,318.16, 475,978.80 and 106,957.92 is: 160,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,318.16 : 475,978.80 = 106,957.92 : x
  2. Step 2: Convert to fraction form
    317,318.16/475,978.80 = 106,957.92/x
  3. Step 3: Cross multiply
    317,318.16x = 475,978.80 × 106,957.92
  4. Step 4: Simplify right side
    317,318.16x = 50,909,702,412.10
  5. Step 5: Solve for x
    x = 50,909,702,412.10/317,318.16
  6. Step 6: Final answer
    x = 160,437.41

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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.