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Finding the Fourth Proportional to 160,774.45, 241,196.24 and 54,169

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Solution

The fourth proportional to 160,774.45, 241,196.24 and 54,169 is: 81,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,774.45 : 241,196.24 = 54,169 : x
  2. Step 2: Convert to fraction form
    160,774.45/241,196.24 = 54,169/x
  3. Step 3: Cross multiply
    160,774.45x = 241,196.24 × 54,169
  4. Step 4: Simplify right side
    160,774.45x = 13,065,359,124.56
  5. Step 5: Solve for x
    x = 13,065,359,124.56/160,774.45
  6. Step 6: Final answer
    x = 81,265.15

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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.