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Finding the Fourth Proportional to 102,617.98, 153,932.16 and 39,415.95

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Solution

The fourth proportional to 102,617.98, 153,932.16 and 39,415.95 is: 59,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,617.98 : 153,932.16 = 39,415.95 : x
  2. Step 2: Convert to fraction form
    102,617.98/153,932.16 = 39,415.95/x
  3. Step 3: Cross multiply
    102,617.98x = 153,932.16 × 39,415.95
  4. Step 4: Simplify right side
    102,617.98x = 6,067,381,937.12
  5. Step 5: Solve for x
    x = 6,067,381,937.12/102,617.98
  6. Step 6: Final answer
    x = 59,125.91

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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.