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Finding the Fourth Proportional to 213,882.90, 295,138.14 and 127,824.86

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Solution

The fourth proportional to 213,882.90, 295,138.14 and 127,824.86 is: 176,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,882.90 : 295,138.14 = 127,824.86 : x
  2. Step 2: Convert to fraction form
    213,882.90/295,138.14 = 127,824.86/x
  3. Step 3: Cross multiply
    213,882.90x = 295,138.14 × 127,824.86
  4. Step 4: Simplify right side
    213,882.90x = 37,725,991,426.16
  5. Step 5: Solve for x
    x = 37,725,991,426.16/213,882.90
  6. Step 6: Final answer
    x = 176,386.20

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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.