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Finding the Fourth Proportional to 252,583.04, 378,895.04 and 84,097.28

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Solution

The fourth proportional to 252,583.04, 378,895.04 and 84,097.28 is: 126,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,583.04 : 378,895.04 = 84,097.28 : x
  2. Step 2: Convert to fraction form
    252,583.04/378,895.04 = 84,097.28/x
  3. Step 3: Cross multiply
    252,583.04x = 378,895.04 × 84,097.28
  4. Step 4: Simplify right side
    252,583.04x = 31,864,042,269.49
  5. Step 5: Solve for x
    x = 31,864,042,269.49/252,583.04
  6. Step 6: Final answer
    x = 126,152.74

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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.