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Finding the Fourth Proportional to 142,680.60, 214,020.90 and 133,349.40

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Solution

The fourth proportional to 142,680.60, 214,020.90 and 133,349.40 is: 200,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,680.60 : 214,020.90 = 133,349.40 : x
  2. Step 2: Convert to fraction form
    142,680.60/214,020.90 = 133,349.40/x
  3. Step 3: Cross multiply
    142,680.60x = 214,020.90 × 133,349.40
  4. Step 4: Simplify right side
    142,680.60x = 28,539,558,602.46
  5. Step 5: Solve for x
    x = 28,539,558,602.46/142,680.60
  6. Step 6: Final answer
    x = 200,024.10

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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.