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Finding the Fourth Proportional to 160,498.65, 240,747.40 and 48,178.38

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Solution

The fourth proportional to 160,498.65, 240,747.40 and 48,178.38 is: 72,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,498.65 : 240,747.40 = 48,178.38 : x
  2. Step 2: Convert to fraction form
    160,498.65/240,747.40 = 48,178.38/x
  3. Step 3: Cross multiply
    160,498.65x = 240,747.40 × 48,178.38
  4. Step 4: Simplify right side
    160,498.65x = 11,598,820,684.24
  5. Step 5: Solve for x
    x = 11,598,820,684.24/160,498.65
  6. Step 6: Final answer
    x = 72,267.40

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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.