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Finding the Fourth Proportional to 159,795.59, 220,424.90 and 102,414.51

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Solution

The fourth proportional to 159,795.59, 220,424.90 and 102,414.51 is: 141,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,795.59 : 220,424.90 = 102,414.51 : x
  2. Step 2: Convert to fraction form
    159,795.59/220,424.90 = 102,414.51/x
  3. Step 3: Cross multiply
    159,795.59x = 220,424.90 × 102,414.51
  4. Step 4: Simplify right side
    159,795.59x = 22,574,707,613.23
  5. Step 5: Solve for x
    x = 22,574,707,613.23/159,795.59
  6. Step 6: Final answer
    x = 141,272.41

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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.