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Finding the Fourth Proportional to 194,718.78, 291,973.68 and 99,909.90

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Solution

The fourth proportional to 194,718.78, 291,973.68 and 99,909.90 is: 149,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,718.78 : 291,973.68 = 99,909.90 : x
  2. Step 2: Convert to fraction form
    194,718.78/291,973.68 = 99,909.90/x
  3. Step 3: Cross multiply
    194,718.78x = 291,973.68 × 99,909.90
  4. Step 4: Simplify right side
    194,718.78x = 29,171,061,171.43
  5. Step 5: Solve for x
    x = 29,171,061,171.43/194,718.78
  6. Step 6: Final answer
    x = 149,811.24

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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.