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Finding the Fourth Proportional to 315,782.87, 435,783.42 and 172,542.92

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Solution

The fourth proportional to 315,782.87, 435,783.42 and 172,542.92 is: 238,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,782.87 : 435,783.42 = 172,542.92 : x
  2. Step 2: Convert to fraction form
    315,782.87/435,783.42 = 172,542.92/x
  3. Step 3: Cross multiply
    315,782.87x = 435,783.42 × 172,542.92
  4. Step 4: Simplify right side
    315,782.87x = 75,191,341,595.47
  5. Step 5: Solve for x
    x = 75,191,341,595.47/315,782.87
  6. Step 6: Final answer
    x = 238,110.90

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