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Finding the Fourth Proportional to 100,658.64, 138,908.52 and 55,339.48

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Solution

The fourth proportional to 100,658.64, 138,908.52 and 55,339.48 is: 76,368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,658.64 : 138,908.52 = 55,339.48 : x
  2. Step 2: Convert to fraction form
    100,658.64/138,908.52 = 55,339.48/x
  3. Step 3: Cross multiply
    100,658.64x = 138,908.52 × 55,339.48
  4. Step 4: Simplify right side
    100,658.64x = 7,687,125,264.37
  5. Step 5: Solve for x
    x = 7,687,125,264.37/100,658.64
  6. Step 6: Final answer
    x = 76,368.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.