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Finding the Fourth Proportional to 296,061, 408,564.18 and 161,925

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Solution

The fourth proportional to 296,061, 408,564.18 and 161,925 is: 223,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,061 : 408,564.18 = 161,925 : x
  2. Step 2: Convert to fraction form
    296,061/408,564.18 = 161,925/x
  3. Step 3: Cross multiply
    296,061x = 408,564.18 × 161,925
  4. Step 4: Simplify right side
    296,061x = 66,156,754,846.50
  5. Step 5: Solve for x
    x = 66,156,754,846.50/296,061
  6. Step 6: Final answer
    x = 223,456.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.