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Finding the Fourth Proportional to 156,783.60, 235,002.60 and 86,713.20

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Solution

The fourth proportional to 156,783.60, 235,002.60 and 86,713.20 is: 129,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,783.60 : 235,002.60 = 86,713.20 : x
  2. Step 2: Convert to fraction form
    156,783.60/235,002.60 = 86,713.20/x
  3. Step 3: Cross multiply
    156,783.60x = 235,002.60 × 86,713.20
  4. Step 4: Simplify right side
    156,783.60x = 20,377,827,454.32
  5. Step 5: Solve for x
    x = 20,377,827,454.32/156,783.60
  6. Step 6: Final answer
    x = 129,974.23

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Why These Related Problems?

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