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Finding the Fourth Proportional to 145,609.60, 218,122.80 and 83,207.20

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Solution

The fourth proportional to 145,609.60, 218,122.80 and 83,207.20 is: 124,644.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,609.60 : 218,122.80 = 83,207.20 : x
  2. Step 2: Convert to fraction form
    145,609.60/218,122.80 = 83,207.20/x
  3. Step 3: Cross multiply
    145,609.60x = 218,122.80 × 83,207.20
  4. Step 4: Simplify right side
    145,609.60x = 18,149,387,444.16
  5. Step 5: Solve for x
    x = 18,149,387,444.16/145,609.60
  6. Step 6: Final answer
    x = 124,644.17

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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.