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Finding the Fourth Proportional to 159,880.56, 239,821.56 and 41,543.52

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Solution

The fourth proportional to 159,880.56, 239,821.56 and 41,543.52 is: 62,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,880.56 : 239,821.56 = 41,543.52 : x
  2. Step 2: Convert to fraction form
    159,880.56/239,821.56 = 41,543.52/x
  3. Step 3: Cross multiply
    159,880.56x = 239,821.56 × 41,543.52
  4. Step 4: Simplify right side
    159,880.56x = 9,963,031,774.29
  5. Step 5: Solve for x
    x = 9,963,031,774.29/159,880.56
  6. Step 6: Final answer
    x = 62,315.47

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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.