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Finding the Fourth Proportional to 194,857.80, 292,225.95 and 76,565.40

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Solution

The fourth proportional to 194,857.80, 292,225.95 and 76,565.40 is: 114,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,857.80 : 292,225.95 = 76,565.40 : x
  2. Step 2: Convert to fraction form
    194,857.80/292,225.95 = 76,565.40/x
  3. Step 3: Cross multiply
    194,857.80x = 292,225.95 × 76,565.40
  4. Step 4: Simplify right side
    194,857.80x = 22,374,396,752.13
  5. Step 5: Solve for x
    x = 22,374,396,752.13/194,857.80
  6. Step 6: Final answer
    x = 114,824.23

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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.