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Finding the Fourth Proportional to 160,154.31, 220,996.02 and 88,522.77

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Solution

The fourth proportional to 160,154.31, 220,996.02 and 88,522.77 is: 122,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,154.31 : 220,996.02 = 88,522.77 : x
  2. Step 2: Convert to fraction form
    160,154.31/220,996.02 = 88,522.77/x
  3. Step 3: Cross multiply
    160,154.31x = 220,996.02 × 88,522.77
  4. Step 4: Simplify right side
    160,154.31x = 19,563,179,849.38
  5. Step 5: Solve for x
    x = 19,563,179,849.38/160,154.31
  6. Step 6: Final answer
    x = 122,152.07

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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.