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Finding the Fourth Proportional to 85,934.80, 128,537.70 and 77,113.90

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Solution

The fourth proportional to 85,934.80, 128,537.70 and 77,113.90 is: 115,343.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,934.80 : 128,537.70 = 77,113.90 : x
  2. Step 2: Convert to fraction form
    85,934.80/128,537.70 = 77,113.90/x
  3. Step 3: Cross multiply
    85,934.80x = 128,537.70 × 77,113.90
  4. Step 4: Simplify right side
    85,934.80x = 9,912,043,344.03
  5. Step 5: Solve for x
    x = 9,912,043,344.03/85,934.80
  6. Step 6: Final answer
    x = 115,343.76

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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.