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Finding the Fourth Proportional to 85,935.30, 128,538.45 and 77,114.40

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Solution

The fourth proportional to 85,935.30, 128,538.45 and 77,114.40 is: 115,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,935.30 : 128,538.45 = 77,114.40 : x
  2. Step 2: Convert to fraction form
    85,935.30/128,538.45 = 77,114.40/x
  3. Step 3: Cross multiply
    85,935.30x = 128,538.45 × 77,114.40
  4. Step 4: Simplify right side
    85,935.30x = 9,912,165,448.68
  5. Step 5: Solve for x
    x = 9,912,165,448.68/85,935.30
  6. Step 6: Final answer
    x = 115,344.51

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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.