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Finding the Fourth Proportional to 162,649.86, 224,430.02 and 102,177.68

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Solution

The fourth proportional to 162,649.86, 224,430.02 and 102,177.68 is: 140,988.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,649.86 : 224,430.02 = 102,177.68 : x
  2. Step 2: Convert to fraction form
    162,649.86/224,430.02 = 102,177.68/x
  3. Step 3: Cross multiply
    162,649.86x = 224,430.02 × 102,177.68
  4. Step 4: Simplify right side
    162,649.86x = 22,931,737,643.80
  5. Step 5: Solve for x
    x = 22,931,737,643.80/162,649.86
  6. Step 6: Final answer
    x = 140,988.36

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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.