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Finding the Fourth Proportional to 317,317.99, 475,978.47 and 106,957.75

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Solution

The fourth proportional to 317,317.99, 475,978.47 and 106,957.75 is: 160,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,317.99 : 475,978.47 = 106,957.75 : x
  2. Step 2: Convert to fraction form
    317,317.99/475,978.47 = 106,957.75/x
  3. Step 3: Cross multiply
    317,317.99x = 475,978.47 × 106,957.75
  4. Step 4: Simplify right side
    317,317.99x = 50,909,586,199.64
  5. Step 5: Solve for x
    x = 50,909,586,199.64/317,317.99
  6. Step 6: Final answer
    x = 160,437.13

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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.