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Finding the Fourth Proportional to 102,899.88, 154,608.12 and 65,476.20

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Solution

The fourth proportional to 102,899.88, 154,608.12 and 65,476.20 is: 98,378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,899.88 : 154,608.12 = 65,476.20 : x
  2. Step 2: Convert to fraction form
    102,899.88/154,608.12 = 65,476.20/x
  3. Step 3: Cross multiply
    102,899.88x = 154,608.12 × 65,476.20
  4. Step 4: Simplify right side
    102,899.88x = 10,123,152,186.74
  5. Step 5: Solve for x
    x = 10,123,152,186.74/102,899.88
  6. Step 6: Final answer
    x = 98,378.66

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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.