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Finding the Fourth Proportional to 105,311.97, 157,885.34 and 52,755.93

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Solution

The fourth proportional to 105,311.97, 157,885.34 and 52,755.93 is: 79,092.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,311.97 : 157,885.34 = 52,755.93 : x
  2. Step 2: Convert to fraction form
    105,311.97/157,885.34 = 52,755.93/x
  3. Step 3: Cross multiply
    105,311.97x = 157,885.34 × 52,755.93
  4. Step 4: Simplify right side
    105,311.97x = 8,329,387,681.29
  5. Step 5: Solve for x
    x = 8,329,387,681.29/105,311.97
  6. Step 6: Final answer
    x = 79,092.51

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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.