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Finding the Fourth Proportional to 207,632.52, 286,555.32 and 127,114.20

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Solution

The fourth proportional to 207,632.52, 286,555.32 and 127,114.20 is: 175,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,632.52 : 286,555.32 = 127,114.20 : x
  2. Step 2: Convert to fraction form
    207,632.52/286,555.32 = 127,114.20/x
  3. Step 3: Cross multiply
    207,632.52x = 286,555.32 × 127,114.20
  4. Step 4: Simplify right side
    207,632.52x = 36,425,250,257.54
  5. Step 5: Solve for x
    x = 36,425,250,257.54/207,632.52
  6. Step 6: Final answer
    x = 175,431.34

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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.