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Finding the Fourth Proportional to 177,205.62, 265,983.39 and 77,434.68

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Solution

The fourth proportional to 177,205.62, 265,983.39 and 77,434.68 is: 116,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,205.62 : 265,983.39 = 77,434.68 : x
  2. Step 2: Convert to fraction form
    177,205.62/265,983.39 = 77,434.68/x
  3. Step 3: Cross multiply
    177,205.62x = 265,983.39 × 77,434.68
  4. Step 4: Simplify right side
    177,205.62x = 20,596,338,689.97
  5. Step 5: Solve for x
    x = 20,596,338,689.97/177,205.62
  6. Step 6: Final answer
    x = 116,228.47

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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.