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Finding the Fourth Proportional to 194,929.80, 292,394.70 and 54,712.20

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Solution

The fourth proportional to 194,929.80, 292,394.70 and 54,712.20 is: 82,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,929.80 : 292,394.70 = 54,712.20 : x
  2. Step 2: Convert to fraction form
    194,929.80/292,394.70 = 54,712.20/x
  3. Step 3: Cross multiply
    194,929.80x = 292,394.70 × 54,712.20
  4. Step 4: Simplify right side
    194,929.80x = 15,997,557,305.34
  5. Step 5: Solve for x
    x = 15,997,557,305.34/194,929.80
  6. Step 6: Final answer
    x = 82,068.30

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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.