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Finding the Fourth Proportional to 161,780.20, 242,573.10 and 83,048.20

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Solution

The fourth proportional to 161,780.20, 242,573.10 and 83,048.20 is: 124,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,780.20 : 242,573.10 = 83,048.20 : x
  2. Step 2: Convert to fraction form
    161,780.20/242,573.10 = 83,048.20/x
  3. Step 3: Cross multiply
    161,780.20x = 242,573.10 × 83,048.20
  4. Step 4: Simplify right side
    161,780.20x = 20,145,259,323.42
  5. Step 5: Solve for x
    x = 20,145,259,323.42/161,780.20
  6. Step 6: Final answer
    x = 124,522.40

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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.