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Finding the Fourth Proportional to 99,206.60, 148,637.10 and 83,654.60

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Solution

The fourth proportional to 99,206.60, 148,637.10 and 83,654.60 is: 125,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,206.60 : 148,637.10 = 83,654.60 : x
  2. Step 2: Convert to fraction form
    99,206.60/148,637.10 = 83,654.60/x
  3. Step 3: Cross multiply
    99,206.60x = 148,637.10 × 83,654.60
  4. Step 4: Simplify right side
    99,206.60x = 12,434,177,145.66
  5. Step 5: Solve for x
    x = 12,434,177,145.66/99,206.60
  6. Step 6: Final answer
    x = 125,336.19

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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.