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Finding the Fourth Proportional to 160,632.17, 221,673.69 and 89,013.38

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Solution

The fourth proportional to 160,632.17, 221,673.69 and 89,013.38 is: 122,839.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,632.17 : 221,673.69 = 89,013.38 : x
  2. Step 2: Convert to fraction form
    160,632.17/221,673.69 = 89,013.38/x
  3. Step 3: Cross multiply
    160,632.17x = 221,673.69 × 89,013.38
  4. Step 4: Simplify right side
    160,632.17x = 19,731,924,958.16
  5. Step 5: Solve for x
    x = 19,731,924,958.16/160,632.17
  6. Step 6: Final answer
    x = 122,839.19

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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.