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Finding the Fourth Proportional to 195,414.80, 293,122.20 and 194,032.40

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Solution

The fourth proportional to 195,414.80, 293,122.20 and 194,032.40 is: 291,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,414.80 : 293,122.20 = 194,032.40 : x
  2. Step 2: Convert to fraction form
    195,414.80/293,122.20 = 194,032.40/x
  3. Step 3: Cross multiply
    195,414.80x = 293,122.20 × 194,032.40
  4. Step 4: Simplify right side
    195,414.80x = 56,875,203,959.28
  5. Step 5: Solve for x
    x = 56,875,203,959.28/195,414.80
  6. Step 6: Final answer
    x = 291,048.60

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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.