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Finding the Fourth Proportional to 177,425.84, 266,218.32 and 96,397.76

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Solution

The fourth proportional to 177,425.84, 266,218.32 and 96,397.76 is: 144,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,425.84 : 266,218.32 = 96,397.76 : x
  2. Step 2: Convert to fraction form
    177,425.84/266,218.32 = 96,397.76/x
  3. Step 3: Cross multiply
    177,425.84x = 266,218.32 × 96,397.76
  4. Step 4: Simplify right side
    177,425.84x = 25,662,849,718.96
  5. Step 5: Solve for x
    x = 25,662,849,718.96/177,425.84
  6. Step 6: Final answer
    x = 144,639.87

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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.