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Finding the Fourth Proportional to 159,411.42, 239,131.80 and 41,083.20

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Solution

The fourth proportional to 159,411.42, 239,131.80 and 41,083.20 is: 61,628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,411.42 : 239,131.80 = 41,083.20 : x
  2. Step 2: Convert to fraction form
    159,411.42/239,131.80 = 41,083.20/x
  3. Step 3: Cross multiply
    159,411.42x = 239,131.80 × 41,083.20
  4. Step 4: Simplify right side
    159,411.42x = 9,824,299,565.76
  5. Step 5: Solve for x
    x = 9,824,299,565.76/159,411.42
  6. Step 6: Final answer
    x = 61,628.58

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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.