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Finding the Fourth Proportional to 194,772.95, 292,197.29 and 74,821.13

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Solution

The fourth proportional to 194,772.95, 292,197.29 and 74,821.13 is: 112,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,772.95 : 292,197.29 = 74,821.13 : x
  2. Step 2: Convert to fraction form
    194,772.95/292,197.29 = 74,821.13/x
  3. Step 3: Cross multiply
    194,772.95x = 292,197.29 × 74,821.13
  4. Step 4: Simplify right side
    194,772.95x = 21,862,529,585.65
  5. Step 5: Solve for x
    x = 21,862,529,585.65/194,772.95
  6. Step 6: Final answer
    x = 112,246.23

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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.