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Finding the Fourth Proportional to 156,225, 234,377.46 and 45,417

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Solution

The fourth proportional to 156,225, 234,377.46 and 45,417 is: 68,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,225 : 234,377.46 = 45,417 : x
  2. Step 2: Convert to fraction form
    156,225/234,377.46 = 45,417/x
  3. Step 3: Cross multiply
    156,225x = 234,377.46 × 45,417
  4. Step 4: Simplify right side
    156,225x = 10,644,721,100.82
  5. Step 5: Solve for x
    x = 10,644,721,100.82/156,225
  6. Step 6: Final answer
    x = 68,137.12

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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.