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Finding the Fourth Proportional to 95,195.52, 142,827.84 and 77,777.28

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Solution

The fourth proportional to 95,195.52, 142,827.84 and 77,777.28 is: 116,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,195.52 : 142,827.84 = 77,777.28 : x
  2. Step 2: Convert to fraction form
    95,195.52/142,827.84 = 77,777.28/x
  3. Step 3: Cross multiply
    95,195.52x = 142,827.84 × 77,777.28
  4. Step 4: Simplify right side
    95,195.52x = 11,108,760,903.48
  5. Step 5: Solve for x
    x = 11,108,760,903.48/95,195.52
  6. Step 6: Final answer
    x = 116,694.16

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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.