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Finding the Fourth Proportional to 127,674, 176,193.36 and 71,084.16

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Solution

The fourth proportional to 127,674, 176,193.36 and 71,084.16 is: 98,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,674 : 176,193.36 = 71,084.16 : x
  2. Step 2: Convert to fraction form
    127,674/176,193.36 = 71,084.16/x
  3. Step 3: Cross multiply
    127,674x = 176,193.36 × 71,084.16
  4. Step 4: Simplify right side
    127,674x = 12,524,556,993.18
  5. Step 5: Solve for x
    x = 12,524,556,993.18/127,674
  6. Step 6: Final answer
    x = 98,097.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.