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Finding the Fourth Proportional to 252,632.92, 378,620.29 and 102,698.07

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Solution

The fourth proportional to 252,632.92, 378,620.29 and 102,698.07 is: 153,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,632.92 : 378,620.29 = 102,698.07 : x
  2. Step 2: Convert to fraction form
    252,632.92/378,620.29 = 102,698.07/x
  3. Step 3: Cross multiply
    252,632.92x = 378,620.29 × 102,698.07
  4. Step 4: Simplify right side
    252,632.92x = 38,883,573,045.84
  5. Step 5: Solve for x
    x = 38,883,573,045.84/252,632.92
  6. Step 6: Final answer
    x = 153,913.33

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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.