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Finding the Fourth Proportional to 160,089.86, 220,905.21 and 88,465.61

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Solution

The fourth proportional to 160,089.86, 220,905.21 and 88,465.61 is: 122,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,089.86 : 220,905.21 = 88,465.61 : x
  2. Step 2: Convert to fraction form
    160,089.86/220,905.21 = 88,465.61/x
  3. Step 3: Cross multiply
    160,089.86x = 220,905.21 × 88,465.61
  4. Step 4: Simplify right side
    160,089.86x = 19,542,514,154.83
  5. Step 5: Solve for x
    x = 19,542,514,154.83/160,089.86
  6. Step 6: Final answer
    x = 122,072.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.