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Finding the Fourth Proportional to 299,193.60, 448,790.40 and 121,827.90

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Solution

The fourth proportional to 299,193.60, 448,790.40 and 121,827.90 is: 182,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,193.60 : 448,790.40 = 121,827.90 : x
  2. Step 2: Convert to fraction form
    299,193.60/448,790.40 = 121,827.90/x
  3. Step 3: Cross multiply
    299,193.60x = 448,790.40 × 121,827.90
  4. Step 4: Simplify right side
    299,193.60x = 54,675,191,972.16
  5. Step 5: Solve for x
    x = 54,675,191,972.16/299,193.60
  6. Step 6: Final answer
    x = 182,741.85

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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.