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Finding the Fourth Proportional to 186,932.52, 257,962.86 and 102,051

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Solution

The fourth proportional to 186,932.52, 257,962.86 and 102,051 is: 140,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,932.52 : 257,962.86 = 102,051 : x
  2. Step 2: Convert to fraction form
    186,932.52/257,962.86 = 102,051/x
  3. Step 3: Cross multiply
    186,932.52x = 257,962.86 × 102,051
  4. Step 4: Simplify right side
    186,932.52x = 26,325,367,825.86
  5. Step 5: Solve for x
    x = 26,325,367,825.86/186,932.52
  6. Step 6: Final answer
    x = 140,828.19

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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.