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Finding the Fourth Proportional to 144,097.60, 215,854.80 and 81,695.20

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Solution

The fourth proportional to 144,097.60, 215,854.80 and 81,695.20 is: 122,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,097.60 : 215,854.80 = 81,695.20 : x
  2. Step 2: Convert to fraction form
    144,097.60/215,854.80 = 81,695.20/x
  3. Step 3: Cross multiply
    144,097.60x = 215,854.80 × 81,695.20
  4. Step 4: Simplify right side
    144,097.60x = 17,634,301,056.96
  5. Step 5: Solve for x
    x = 17,634,301,056.96/144,097.60
  6. Step 6: Final answer
    x = 122,377.48

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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.