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Finding the Fourth Proportional to 96,725.80, 145,412.70 and 83,895.40

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Solution

The fourth proportional to 96,725.80, 145,412.70 and 83,895.40 is: 126,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,725.80 : 145,412.70 = 83,895.40 : x
  2. Step 2: Convert to fraction form
    96,725.80/145,412.70 = 83,895.40/x
  3. Step 3: Cross multiply
    96,725.80x = 145,412.70 × 83,895.40
  4. Step 4: Simplify right side
    96,725.80x = 12,199,456,631.58
  5. Step 5: Solve for x
    x = 12,199,456,631.58/96,725.80
  6. Step 6: Final answer
    x = 126,124.12

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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.