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Finding the Fourth Proportional to 252,296.50, 378,444.76 and 102,618.22

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Solution

The fourth proportional to 252,296.50, 378,444.76 and 102,618.22 is: 153,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,296.50 : 378,444.76 = 102,618.22 : x
  2. Step 2: Convert to fraction form
    252,296.50/378,444.76 = 102,618.22/x
  3. Step 3: Cross multiply
    252,296.50x = 378,444.76 × 102,618.22
  4. Step 4: Simplify right side
    252,296.50x = 38,835,327,639.53
  5. Step 5: Solve for x
    x = 38,835,327,639.53/252,296.50
  6. Step 6: Final answer
    x = 153,927.33

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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.