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Finding the Fourth Proportional to 186,959.44, 280,439.16 and 99,386.96

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Solution

The fourth proportional to 186,959.44, 280,439.16 and 99,386.96 is: 149,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,959.44 : 280,439.16 = 99,386.96 : x
  2. Step 2: Convert to fraction form
    186,959.44/280,439.16 = 99,386.96/x
  3. Step 3: Cross multiply
    186,959.44x = 280,439.16 × 99,386.96
  4. Step 4: Simplify right side
    186,959.44x = 27,871,995,577.35
  5. Step 5: Solve for x
    x = 27,871,995,577.35/186,959.44
  6. Step 6: Final answer
    x = 149,080.44

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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.