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Finding the Fourth Proportional to 102,642.80, 153,820.20 and 81,618.80

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Solution

The fourth proportional to 102,642.80, 153,820.20 and 81,618.80 is: 122,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,642.80 : 153,820.20 = 81,618.80 : x
  2. Step 2: Convert to fraction form
    102,642.80/153,820.20 = 81,618.80/x
  3. Step 3: Cross multiply
    102,642.80x = 153,820.20 × 81,618.80
  4. Step 4: Simplify right side
    102,642.80x = 12,554,620,139.76
  5. Step 5: Solve for x
    x = 12,554,620,139.76/102,642.80
  6. Step 6: Final answer
    x = 122,313.70

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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.