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Finding the Fourth Proportional to 162,650.61, 224,431.05 and 102,178.42

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Solution

The fourth proportional to 162,650.61, 224,431.05 and 102,178.42 is: 140,989.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,650.61 : 224,431.05 = 102,178.42 : x
  2. Step 2: Convert to fraction form
    162,650.61/224,431.05 = 102,178.42/x
  3. Step 3: Cross multiply
    162,650.61x = 224,431.05 × 102,178.42
  4. Step 4: Simplify right side
    162,650.61x = 22,932,010,087.94
  5. Step 5: Solve for x
    x = 22,932,010,087.94/162,650.61
  6. Step 6: Final answer
    x = 140,989.39

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1.5x scale

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.