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Finding the Fourth Proportional to 160,644.48, 240,964.90 and 65,853.48

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Solution

The fourth proportional to 160,644.48, 240,964.90 and 65,853.48 is: 98,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,644.48 : 240,964.90 = 65,853.48 : x
  2. Step 2: Convert to fraction form
    160,644.48/240,964.90 = 65,853.48/x
  3. Step 3: Cross multiply
    160,644.48x = 240,964.90 × 65,853.48
  4. Step 4: Simplify right side
    160,644.48x = 15,868,377,222.85
  5. Step 5: Solve for x
    x = 15,868,377,222.85/160,644.48
  6. Step 6: Final answer
    x = 98,779.47

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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.