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Finding the Fourth Proportional to 160,818.12, 221,747.14 and 102,597.14

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Solution

The fourth proportional to 160,818.12, 221,747.14 and 102,597.14 is: 141,468.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,818.12 : 221,747.14 = 102,597.14 : x
  2. Step 2: Convert to fraction form
    160,818.12/221,747.14 = 102,597.14/x
  3. Step 3: Cross multiply
    160,818.12x = 221,747.14 × 102,597.14
  4. Step 4: Simplify right side
    160,818.12x = 22,750,622,367.18
  5. Step 5: Solve for x
    x = 22,750,622,367.18/160,818.12
  6. Step 6: Final answer
    x = 141,468.03

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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.