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Finding the Fourth Proportional to 162,858, 224,717.79 and 102,385.80

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Solution

The fourth proportional to 162,858, 224,717.79 and 102,385.80 is: 141,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,858 : 224,717.79 = 102,385.80 : x
  2. Step 2: Convert to fraction form
    162,858/224,717.79 = 102,385.80/x
  3. Step 3: Cross multiply
    162,858x = 224,717.79 × 102,385.80
  4. Step 4: Simplify right side
    162,858x = 23,007,910,703.38
  5. Step 5: Solve for x
    x = 23,007,910,703.38/162,858
  6. Step 6: Final answer
    x = 141,275.90

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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.