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Finding the Fourth Proportional to 195,364.20, 293,046.30 and 77,039.40

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Solution

The fourth proportional to 195,364.20, 293,046.30 and 77,039.40 is: 115,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,364.20 : 293,046.30 = 77,039.40 : x
  2. Step 2: Convert to fraction form
    195,364.20/293,046.30 = 77,039.40/x
  3. Step 3: Cross multiply
    195,364.20x = 293,046.30 × 77,039.40
  4. Step 4: Simplify right side
    195,364.20x = 22,576,111,124.22
  5. Step 5: Solve for x
    x = 22,576,111,124.22/195,364.20
  6. Step 6: Final answer
    x = 115,559.10

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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.