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Finding the Fourth Proportional to 194,969.80, 292,454.70 and 54,752.20

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Solution

The fourth proportional to 194,969.80, 292,454.70 and 54,752.20 is: 82,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,969.80 : 292,454.70 = 54,752.20 : x
  2. Step 2: Convert to fraction form
    194,969.80/292,454.70 = 54,752.20/x
  3. Step 3: Cross multiply
    194,969.80x = 292,454.70 × 54,752.20
  4. Step 4: Simplify right side
    194,969.80x = 16,012,538,225.34
  5. Step 5: Solve for x
    x = 16,012,538,225.34/194,969.80
  6. Step 6: Final answer
    x = 82,128.30

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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.