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Finding the Fourth Proportional to 142,702.40, 214,053.60 and 87,406.40

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Solution

The fourth proportional to 142,702.40, 214,053.60 and 87,406.40 is: 131,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,702.40 : 214,053.60 = 87,406.40 : x
  2. Step 2: Convert to fraction form
    142,702.40/214,053.60 = 87,406.40/x
  3. Step 3: Cross multiply
    142,702.40x = 214,053.60 × 87,406.40
  4. Step 4: Simplify right side
    142,702.40x = 18,709,654,583.04
  5. Step 5: Solve for x
    x = 18,709,654,583.04/142,702.40
  6. Step 6: Final answer
    x = 131,109.60

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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.