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Finding the Fourth Proportional to 147,104.42, 220,656.72 and 102,817.64

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Solution

The fourth proportional to 147,104.42, 220,656.72 and 102,817.64 is: 154,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,104.42 : 220,656.72 = 102,817.64 : x
  2. Step 2: Convert to fraction form
    147,104.42/220,656.72 = 102,817.64/x
  3. Step 3: Cross multiply
    147,104.42x = 220,656.72 × 102,817.64
  4. Step 4: Simplify right side
    147,104.42x = 22,687,403,200.54
  5. Step 5: Solve for x
    x = 22,687,403,200.54/147,104.42
  6. Step 6: Final answer
    x = 154,226.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.