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Finding the Fourth Proportional to 160,469.33, 240,714.93 and 42,140.48

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Solution

The fourth proportional to 160,469.33, 240,714.93 and 42,140.48 is: 63,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,469.33 : 240,714.93 = 42,140.48 : x
  2. Step 2: Convert to fraction form
    160,469.33/240,714.93 = 42,140.48/x
  3. Step 3: Cross multiply
    160,469.33x = 240,714.93 × 42,140.48
  4. Step 4: Simplify right side
    160,469.33x = 10,143,842,693.37
  5. Step 5: Solve for x
    x = 10,143,842,693.37/160,469.33
  6. Step 6: Final answer
    x = 63,213.59

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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.