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Finding the Fourth Proportional to 309,001.14, 463,385.07 and 142,672.50

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Solution

The fourth proportional to 309,001.14, 463,385.07 and 142,672.50 is: 213,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,001.14 : 463,385.07 = 142,672.50 : x
  2. Step 2: Convert to fraction form
    309,001.14/463,385.07 = 142,672.50/x
  3. Step 3: Cross multiply
    309,001.14x = 463,385.07 × 142,672.50
  4. Step 4: Simplify right side
    309,001.14x = 66,112,306,399.58
  5. Step 5: Solve for x
    x = 66,112,306,399.58/309,001.14
  6. Step 6: Final answer
    x = 213,954.89

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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.