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Finding the Fourth Proportional to 194,425.80, 291,638.70 and 83,617.80

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Solution

The fourth proportional to 194,425.80, 291,638.70 and 83,617.80 is: 125,426.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,425.80 : 291,638.70 = 83,617.80 : x
  2. Step 2: Convert to fraction form
    194,425.80/291,638.70 = 83,617.80/x
  3. Step 3: Cross multiply
    194,425.80x = 291,638.70 × 83,617.80
  4. Step 4: Simplify right side
    194,425.80x = 24,386,186,488.86
  5. Step 5: Solve for x
    x = 24,386,186,488.86/194,425.80
  6. Step 6: Final answer
    x = 125,426.70

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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.