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Finding the Fourth Proportional to 98,572.80, 147,932.10 and 65,281.80

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Solution

The fourth proportional to 98,572.80, 147,932.10 and 65,281.80 is: 97,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,572.80 : 147,932.10 = 65,281.80 : x
  2. Step 2: Convert to fraction form
    98,572.80/147,932.10 = 65,281.80/x
  3. Step 3: Cross multiply
    98,572.80x = 147,932.10 × 65,281.80
  4. Step 4: Simplify right side
    98,572.80x = 9,657,273,765.78
  5. Step 5: Solve for x
    x = 9,657,273,765.78/98,572.80
  6. Step 6: Final answer
    x = 97,970.98

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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.