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Finding the Fourth Proportional to 194,427.80, 291,641.70 and 83,619.80

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Solution

The fourth proportional to 194,427.80, 291,641.70 and 83,619.80 is: 125,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,427.80 : 291,641.70 = 83,619.80 : x
  2. Step 2: Convert to fraction form
    194,427.80/291,641.70 = 83,619.80/x
  3. Step 3: Cross multiply
    194,427.80x = 291,641.70 × 83,619.80
  4. Step 4: Simplify right side
    194,427.80x = 24,387,020,625.66
  5. Step 5: Solve for x
    x = 24,387,020,625.66/194,427.80
  6. Step 6: Final answer
    x = 125,429.70

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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.