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Finding the Fourth Proportional to 102,385.20, 153,577.80 and 98,497.20

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Solution

The fourth proportional to 102,385.20, 153,577.80 and 98,497.20 is: 147,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,385.20 : 153,577.80 = 98,497.20 : x
  2. Step 2: Convert to fraction form
    102,385.20/153,577.80 = 98,497.20/x
  3. Step 3: Cross multiply
    102,385.20x = 153,577.80 × 98,497.20
  4. Step 4: Simplify right side
    102,385.20x = 15,126,983,282.16
  5. Step 5: Solve for x
    x = 15,126,983,282.16/102,385.20
  6. Step 6: Final answer
    x = 147,745.80

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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.