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Finding the Fourth Proportional to 160,497.85, 240,746.18 and 48,177.58

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Solution

The fourth proportional to 160,497.85, 240,746.18 and 48,177.58 is: 72,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,497.85 : 240,746.18 = 48,177.58 : x
  2. Step 2: Convert to fraction form
    160,497.85/240,746.18 = 48,177.58/x
  3. Step 3: Cross multiply
    160,497.85x = 240,746.18 × 48,177.58
  4. Step 4: Simplify right side
    160,497.85x = 11,598,567,142.91
  5. Step 5: Solve for x
    x = 11,598,567,142.91/160,497.85
  6. Step 6: Final answer
    x = 72,266.19

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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.