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Finding the Fourth Proportional to 213,807.52, 295,034.34 and 127,749.36

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Solution

The fourth proportional to 213,807.52, 295,034.34 and 127,749.36 is: 176,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,807.52 : 295,034.34 = 127,749.36 : x
  2. Step 2: Convert to fraction form
    213,807.52/295,034.34 = 127,749.36/x
  3. Step 3: Cross multiply
    213,807.52x = 295,034.34 × 127,749.36
  4. Step 4: Simplify right side
    213,807.52x = 37,690,449,698.46
  5. Step 5: Solve for x
    x = 37,690,449,698.46/213,807.52
  6. Step 6: Final answer
    x = 176,282.15

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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.