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Finding the Fourth Proportional to 169,894.46, 254,842.49 and 51,566.82

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Solution

The fourth proportional to 169,894.46, 254,842.49 and 51,566.82 is: 77,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,894.46 : 254,842.49 = 51,566.82 : x
  2. Step 2: Convert to fraction form
    169,894.46/254,842.49 = 51,566.82/x
  3. Step 3: Cross multiply
    169,894.46x = 254,842.49 × 51,566.82
  4. Step 4: Simplify right side
    169,894.46x = 13,141,416,552.35
  5. Step 5: Solve for x
    x = 13,141,416,552.35/169,894.46
  6. Step 6: Final answer
    x = 77,350.47

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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.