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Finding the Fourth Proportional to 186,934.52, 257,965.62 and 102,053

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Solution

The fourth proportional to 186,934.52, 257,965.62 and 102,053 is: 140,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,934.52 : 257,965.62 = 102,053 : x
  2. Step 2: Convert to fraction form
    186,934.52/257,965.62 = 102,053/x
  3. Step 3: Cross multiply
    186,934.52x = 257,965.62 × 102,053
  4. Step 4: Simplify right side
    186,934.52x = 26,326,165,417.86
  5. Step 5: Solve for x
    x = 26,326,165,417.86/186,934.52
  6. Step 6: Final answer
    x = 140,830.95

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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.