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Finding the Fourth Proportional to 160,447.84, 221,419.76 and 88,829.04

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Solution

The fourth proportional to 160,447.84, 221,419.76 and 88,829.04 is: 122,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,447.84 : 221,419.76 = 88,829.04 : x
  2. Step 2: Convert to fraction form
    160,447.84/221,419.76 = 88,829.04/x
  3. Step 3: Cross multiply
    160,447.84x = 221,419.76 × 88,829.04
  4. Step 4: Simplify right side
    160,447.84x = 19,668,504,717.83
  5. Step 5: Solve for x
    x = 19,668,504,717.83/160,447.84
  6. Step 6: Final answer
    x = 122,585.04

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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.