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Finding the Fourth Proportional to 162,711.18, 224,514.70 and 102,239

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Solution

The fourth proportional to 162,711.18, 224,514.70 and 102,239 is: 141,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,711.18 : 224,514.70 = 102,239 : x
  2. Step 2: Convert to fraction form
    162,711.18/224,514.70 = 102,239/x
  3. Step 3: Cross multiply
    162,711.18x = 224,514.70 × 102,239
  4. Step 4: Simplify right side
    162,711.18x = 22,954,158,413.30
  5. Step 5: Solve for x
    x = 22,954,158,413.30/162,711.18
  6. Step 6: Final answer
    x = 141,073.03

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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.