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Finding the Fourth Proportional to 242,209.96, 362,789.82 and 117,289

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Solution

The fourth proportional to 242,209.96, 362,789.82 and 117,289 is: 175,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,209.96 : 362,789.82 = 117,289 : x
  2. Step 2: Convert to fraction form
    242,209.96/362,789.82 = 117,289/x
  3. Step 3: Cross multiply
    242,209.96x = 362,789.82 × 117,289
  4. Step 4: Simplify right side
    242,209.96x = 42,551,255,197.98
  5. Step 5: Solve for x
    x = 42,551,255,197.98/242,209.96
  6. Step 6: Final answer
    x = 175,679.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.