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Finding the Fourth Proportional to 160,402.32, 240,452.16 and 55,147.68

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Solution

The fourth proportional to 160,402.32, 240,452.16 and 55,147.68 is: 82,669.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,402.32 : 240,452.16 = 55,147.68 : x
  2. Step 2: Convert to fraction form
    160,402.32/240,452.16 = 55,147.68/x
  3. Step 3: Cross multiply
    160,402.32x = 240,452.16 × 55,147.68
  4. Step 4: Simplify right side
    160,402.32x = 13,260,378,774.99
  5. Step 5: Solve for x
    x = 13,260,378,774.99/160,402.32
  6. Step 6: Final answer
    x = 82,669.49

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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.