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Finding the Fourth Proportional to 160,079.64, 240,133.10 and 47,752.60

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Solution

The fourth proportional to 160,079.64, 240,133.10 and 47,752.60 is: 71,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,079.64 : 240,133.10 = 47,752.60 : x
  2. Step 2: Convert to fraction form
    160,079.64/240,133.10 = 47,752.60/x
  3. Step 3: Cross multiply
    160,079.64x = 240,133.10 × 47,752.60
  4. Step 4: Simplify right side
    160,079.64x = 11,466,979,871.06
  5. Step 5: Solve for x
    x = 11,466,979,871.06/160,079.64
  6. Step 6: Final answer
    x = 71,632.97

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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.