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Finding the Fourth Proportional to 195,663.60, 293,420.88 and 83,272.86

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Solution

The fourth proportional to 195,663.60, 293,420.88 and 83,272.86 is: 124,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,663.60 : 293,420.88 = 83,272.86 : x
  2. Step 2: Convert to fraction form
    195,663.60/293,420.88 = 83,272.86/x
  3. Step 3: Cross multiply
    195,663.60x = 293,420.88 × 83,272.86
  4. Step 4: Simplify right side
    195,663.60x = 24,433,995,861.32
  5. Step 5: Solve for x
    x = 24,433,995,861.32/195,663.60
  6. Step 6: Final answer
    x = 124,877.57

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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.