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Finding the Fourth Proportional to 194,573.58, 291,972.90 and 82,246.52

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Solution

The fourth proportional to 194,573.58, 291,972.90 and 82,246.52 is: 123,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,573.58 : 291,972.90 = 82,246.52 : x
  2. Step 2: Convert to fraction form
    194,573.58/291,972.90 = 82,246.52/x
  3. Step 3: Cross multiply
    194,573.58x = 291,972.90 × 82,246.52
  4. Step 4: Simplify right side
    194,573.58x = 24,013,754,959.31
  5. Step 5: Solve for x
    x = 24,013,754,959.31/194,573.58
  6. Step 6: Final answer
    x = 123,417.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.