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Finding the Fourth Proportional to 293,084.90, 438,938.42 and 142,854.38

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Solution

The fourth proportional to 293,084.90, 438,938.42 and 142,854.38 is: 213,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,084.90 : 438,938.42 = 142,854.38 : x
  2. Step 2: Convert to fraction form
    293,084.90/438,938.42 = 142,854.38/x
  3. Step 3: Cross multiply
    293,084.90x = 438,938.42 × 142,854.38
  4. Step 4: Simplify right side
    293,084.90x = 62,704,275,847.28
  5. Step 5: Solve for x
    x = 62,704,275,847.28/293,084.90
  6. Step 6: Final answer
    x = 213,945.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.