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Finding the Fourth Proportional to 158,772.96, 219,047.76 and 113,456.16

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Solution

The fourth proportional to 158,772.96, 219,047.76 and 113,456.16 is: 156,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,772.96 : 219,047.76 = 113,456.16 : x
  2. Step 2: Convert to fraction form
    158,772.96/219,047.76 = 113,456.16/x
  3. Step 3: Cross multiply
    158,772.96x = 219,047.76 × 113,456.16
  4. Step 4: Simplify right side
    158,772.96x = 24,852,317,706.20
  5. Step 5: Solve for x
    x = 24,852,317,706.20/158,772.96
  6. Step 6: Final answer
    x = 156,527.39

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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.