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Finding the Fourth Proportional to 177,251.76, 265,927.88 and 72,146.16

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Solution

The fourth proportional to 177,251.76, 265,927.88 and 72,146.16 is: 108,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,251.76 : 265,927.88 = 72,146.16 : x
  2. Step 2: Convert to fraction form
    177,251.76/265,927.88 = 72,146.16/x
  3. Step 3: Cross multiply
    177,251.76x = 265,927.88 × 72,146.16
  4. Step 4: Simplify right side
    177,251.76x = 19,185,675,378.94
  5. Step 5: Solve for x
    x = 19,185,675,378.94/177,251.76
  6. Step 6: Final answer
    x = 108,239.69

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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.