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Finding the Fourth Proportional to 252,316.93, 378,046.95 and 152,266.89

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Solution

The fourth proportional to 252,316.93, 378,046.95 and 152,266.89 is: 228,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,316.93 : 378,046.95 = 152,266.89 : x
  2. Step 2: Convert to fraction form
    252,316.93/378,046.95 = 152,266.89/x
  3. Step 3: Cross multiply
    252,316.93x = 378,046.95 × 152,266.89
  4. Step 4: Simplify right side
    252,316.93x = 57,564,033,350.49
  5. Step 5: Solve for x
    x = 57,564,033,350.49/252,316.93
  6. Step 6: Final answer
    x = 228,141.78

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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.