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Finding the Fourth Proportional to 161,706.10, 242,559.15 and 142,023.10

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Solution

The fourth proportional to 161,706.10, 242,559.15 and 142,023.10 is: 213,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,706.10 : 242,559.15 = 142,023.10 : x
  2. Step 2: Convert to fraction form
    161,706.10/242,559.15 = 142,023.10/x
  3. Step 3: Cross multiply
    161,706.10x = 242,559.15 × 142,023.10
  4. Step 4: Simplify right side
    161,706.10x = 34,449,002,416.37
  5. Step 5: Solve for x
    x = 34,449,002,416.37/161,706.10
  6. Step 6: Final answer
    x = 213,034.65

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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.