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Finding the Fourth Proportional to 261,641.09, 361,068.49 and 146,944.56

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Solution

The fourth proportional to 261,641.09, 361,068.49 and 146,944.56 is: 202,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,641.09 : 361,068.49 = 146,944.56 : x
  2. Step 2: Convert to fraction form
    261,641.09/361,068.49 = 146,944.56/x
  3. Step 3: Cross multiply
    261,641.09x = 361,068.49 × 146,944.56
  4. Step 4: Simplify right side
    261,641.09x = 53,057,050,392.91
  5. Step 5: Solve for x
    x = 53,057,050,392.91/261,641.09
  6. Step 6: Final answer
    x = 202,785.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.