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Finding the Fourth Proportional to 214,592.90, 296,132.56 and 119,097.14

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Solution

The fourth proportional to 214,592.90, 296,132.56 and 119,097.14 is: 164,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,592.90 : 296,132.56 = 119,097.14 : x
  2. Step 2: Convert to fraction form
    214,592.90/296,132.56 = 119,097.14/x
  3. Step 3: Cross multiply
    214,592.90x = 296,132.56 × 119,097.14
  4. Step 4: Simplify right side
    214,592.90x = 35,268,539,178.47
  5. Step 5: Solve for x
    x = 35,268,539,178.47/214,592.90
  6. Step 6: Final answer
    x = 164,350.92

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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.