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Finding the Fourth Proportional to 102,531.80, 153,797.70 and 98,595.20

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Solution

The fourth proportional to 102,531.80, 153,797.70 and 98,595.20 is: 147,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,531.80 : 153,797.70 = 98,595.20 : x
  2. Step 2: Convert to fraction form
    102,531.80/153,797.70 = 98,595.20/x
  3. Step 3: Cross multiply
    102,531.80x = 153,797.70 × 98,595.20
  4. Step 4: Simplify right side
    102,531.80x = 15,163,714,991.04
  5. Step 5: Solve for x
    x = 15,163,714,991.04/102,531.80
  6. Step 6: Final answer
    x = 147,892.80

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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.