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Finding the Fourth Proportional to 252,697.15, 378,717.94 and 102,762.91

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Solution

The fourth proportional to 252,697.15, 378,717.94 and 102,762.91 is: 154,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,697.15 : 378,717.94 = 102,762.91 : x
  2. Step 2: Convert to fraction form
    252,697.15/378,717.94 = 102,762.91/x
  3. Step 3: Cross multiply
    252,697.15x = 378,717.94 × 102,762.91
  4. Step 4: Simplify right side
    252,697.15x = 38,918,157,583.61
  5. Step 5: Solve for x
    x = 38,918,157,583.61/252,697.15
  6. Step 6: Final answer
    x = 154,011.07

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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.