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Finding the Fourth Proportional to 186,805.98, 279,924.72 and 136,919.16

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Solution

The fourth proportional to 186,805.98, 279,924.72 and 136,919.16 is: 205,170.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,805.98 : 279,924.72 = 136,919.16 : x
  2. Step 2: Convert to fraction form
    186,805.98/279,924.72 = 136,919.16/x
  3. Step 3: Cross multiply
    186,805.98x = 279,924.72 × 136,919.16
  4. Step 4: Simplify right side
    186,805.98x = 38,327,057,525.64
  5. Step 5: Solve for x
    x = 38,327,057,525.64/186,805.98
  6. Step 6: Final answer
    x = 205,170.40

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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.