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Finding the Fourth Proportional to 186,797.18, 280,278.08 and 98,029.28

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Solution

The fourth proportional to 186,797.18, 280,278.08 and 98,029.28 is: 147,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,797.18 : 280,278.08 = 98,029.28 : x
  2. Step 2: Convert to fraction form
    186,797.18/280,278.08 = 98,029.28/x
  3. Step 3: Cross multiply
    186,797.18x = 280,278.08 × 98,029.28
  4. Step 4: Simplify right side
    186,797.18x = 27,475,456,490.65
  5. Step 5: Solve for x
    x = 27,475,456,490.65/186,797.18
  6. Step 6: Final answer
    x = 147,087.11

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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.