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Finding the Fourth Proportional to 178,244.52, 245,977.40 and 102,793

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Solution

The fourth proportional to 178,244.52, 245,977.40 and 102,793 is: 141,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,244.52 : 245,977.40 = 102,793 : x
  2. Step 2: Convert to fraction form
    178,244.52/245,977.40 = 102,793/x
  3. Step 3: Cross multiply
    178,244.52x = 245,977.40 × 102,793
  4. Step 4: Simplify right side
    178,244.52x = 25,284,754,878.20
  5. Step 5: Solve for x
    x = 25,284,754,878.20/178,244.52
  6. Step 6: Final answer
    x = 141,854.32

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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.