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Finding the Fourth Proportional to 160,406.16, 240,609.36 and 48,098.16

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Solution

The fourth proportional to 160,406.16, 240,609.36 and 48,098.16 is: 72,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,406.16 : 240,609.36 = 48,098.16 : x
  2. Step 2: Convert to fraction form
    160,406.16/240,609.36 = 48,098.16/x
  3. Step 3: Cross multiply
    160,406.16x = 240,609.36 × 48,098.16
  4. Step 4: Simplify right side
    160,406.16x = 11,572,867,494.78
  5. Step 5: Solve for x
    x = 11,572,867,494.78/160,406.16
  6. Step 6: Final answer
    x = 72,147.28

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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.