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Finding the Fourth Proportional to 162,808.36, 224,724.30 and 99,177.59

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Solution

The fourth proportional to 162,808.36, 224,724.30 and 99,177.59 is: 136,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,808.36 : 224,724.30 = 99,177.59 : x
  2. Step 2: Convert to fraction form
    162,808.36/224,724.30 = 99,177.59/x
  3. Step 3: Cross multiply
    162,808.36x = 224,724.30 × 99,177.59
  4. Step 4: Simplify right side
    162,808.36x = 22,287,614,488.44
  5. Step 5: Solve for x
    x = 22,287,614,488.44/162,808.36
  6. Step 6: Final answer
    x = 136,894.78

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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.