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Finding the Fourth Proportional to 177,046.80, 265,619.28 and 77,215.68

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Solution

The fourth proportional to 177,046.80, 265,619.28 and 77,215.68 is: 115,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,046.80 : 265,619.28 = 77,215.68 : x
  2. Step 2: Convert to fraction form
    177,046.80/265,619.28 = 77,215.68/x
  3. Step 3: Cross multiply
    177,046.80x = 265,619.28 × 77,215.68
  4. Step 4: Simplify right side
    177,046.80x = 20,509,973,326.31
  5. Step 5: Solve for x
    x = 20,509,973,326.31/177,046.80
  6. Step 6: Final answer
    x = 115,844.93

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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.