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Finding the Fourth Proportional to 96,677.80, 145,340.70 and 83,847.40

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Solution

The fourth proportional to 96,677.80, 145,340.70 and 83,847.40 is: 126,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,677.80 : 145,340.70 = 83,847.40 : x
  2. Step 2: Convert to fraction form
    96,677.80/145,340.70 = 83,847.40/x
  3. Step 3: Cross multiply
    96,677.80x = 145,340.70 × 83,847.40
  4. Step 4: Simplify right side
    96,677.80x = 12,186,439,809.18
  5. Step 5: Solve for x
    x = 12,186,439,809.18/96,677.80
  6. Step 6: Final answer
    x = 126,052.10

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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.