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Finding the Fourth Proportional to 160,593.83, 221,723.46 and 103,258.89

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Solution

The fourth proportional to 160,593.83, 221,723.46 and 103,258.89 is: 142,564.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,593.83 : 221,723.46 = 103,258.89 : x
  2. Step 2: Convert to fraction form
    160,593.83/221,723.46 = 103,258.89/x
  3. Step 3: Cross multiply
    160,593.83x = 221,723.46 × 103,258.89
  4. Step 4: Simplify right side
    160,593.83x = 22,894,918,366.56
  5. Step 5: Solve for x
    x = 22,894,918,366.56/160,593.83
  6. Step 6: Final answer
    x = 142,564.13

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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.