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Finding the Fourth Proportional to 160,674.29, 221,726.67 and 89,052.77

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Solution

The fourth proportional to 160,674.29, 221,726.67 and 89,052.77 is: 122,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,674.29 : 221,726.67 = 89,052.77 : x
  2. Step 2: Convert to fraction form
    160,674.29/221,726.67 = 89,052.77/x
  3. Step 3: Cross multiply
    160,674.29x = 221,726.67 × 89,052.77
  4. Step 4: Simplify right side
    160,674.29x = 19,745,374,146.38
  5. Step 5: Solve for x
    x = 19,745,374,146.38/160,674.29
  6. Step 6: Final answer
    x = 122,890.69

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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.