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Finding the Fourth Proportional to 161,714.70, 242,572.05 and 135,470.70

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Solution

The fourth proportional to 161,714.70, 242,572.05 and 135,470.70 is: 203,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,714.70 : 242,572.05 = 135,470.70 : x
  2. Step 2: Convert to fraction form
    161,714.70/242,572.05 = 135,470.70/x
  3. Step 3: Cross multiply
    161,714.70x = 242,572.05 × 135,470.70
  4. Step 4: Simplify right side
    161,714.70x = 32,861,405,413.94
  5. Step 5: Solve for x
    x = 32,861,405,413.94/161,714.70
  6. Step 6: Final answer
    x = 203,206.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.