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Finding the Fourth Proportional to 195,814.40, 293,818.80 and 77,489.60

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Solution

The fourth proportional to 195,814.40, 293,818.80 and 77,489.60 is: 116,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,814.40 : 293,818.80 = 77,489.60 : x
  2. Step 2: Convert to fraction form
    195,814.40/293,818.80 = 77,489.60/x
  3. Step 3: Cross multiply
    195,814.40x = 293,818.80 × 77,489.60
  4. Step 4: Simplify right side
    195,814.40x = 22,767,901,284.48
  5. Step 5: Solve for x
    x = 22,767,901,284.48/195,814.40
  6. Step 6: Final answer
    x = 116,272.86

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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.