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Finding the Fourth Proportional to 160,871.76, 241,301.54 and 48,549

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Solution

The fourth proportional to 160,871.76, 241,301.54 and 48,549 is: 72,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,871.76 : 241,301.54 = 48,549 : x
  2. Step 2: Convert to fraction form
    160,871.76/241,301.54 = 48,549/x
  3. Step 3: Cross multiply
    160,871.76x = 241,301.54 × 48,549
  4. Step 4: Simplify right side
    160,871.76x = 11,714,948,465.46
  5. Step 5: Solve for x
    x = 11,714,948,465.46/160,871.76
  6. Step 6: Final answer
    x = 72,821.66

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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.