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Finding the Fourth Proportional to 252,316.92, 378,046.94 and 152,266.90

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Solution

The fourth proportional to 252,316.92, 378,046.94 and 152,266.90 is: 228,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,316.92 : 378,046.94 = 152,266.90 : x
  2. Step 2: Convert to fraction form
    252,316.92/378,046.94 = 152,266.90/x
  3. Step 3: Cross multiply
    252,316.92x = 378,046.94 × 152,266.90
  4. Step 4: Simplify right side
    252,316.92x = 57,564,035,608.29
  5. Step 5: Solve for x
    x = 57,564,035,608.29/252,316.92
  6. Step 6: Final answer
    x = 228,141.80

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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.