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Finding the Fourth Proportional to 177,284.58, 265,976.09 and 98,454.17

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Solution

The fourth proportional to 177,284.58, 265,976.09 and 98,454.17 is: 147,708.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,284.58 : 265,976.09 = 98,454.17 : x
  2. Step 2: Convert to fraction form
    177,284.58/265,976.09 = 98,454.17/x
  3. Step 3: Cross multiply
    177,284.58x = 265,976.09 × 98,454.17
  4. Step 4: Simplify right side
    177,284.58x = 26,186,453,358.64
  5. Step 5: Solve for x
    x = 26,186,453,358.64/177,284.58
  6. Step 6: Final answer
    x = 147,708.58

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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.