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Finding the Fourth Proportional to 194,805.60, 291,998.52 and 95,033.04

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Solution

The fourth proportional to 194,805.60, 291,998.52 and 95,033.04 is: 142,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,805.60 : 291,998.52 = 95,033.04 : x
  2. Step 2: Convert to fraction form
    194,805.60/291,998.52 = 95,033.04/x
  3. Step 3: Cross multiply
    194,805.60x = 291,998.52 × 95,033.04
  4. Step 4: Simplify right side
    194,805.60x = 27,749,507,031.10
  5. Step 5: Solve for x
    x = 27,749,507,031.10/194,805.60
  6. Step 6: Final answer
    x = 142,447.17

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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.