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Finding the Fourth Proportional to 169,846.28, 254,770.02 and 51,518.64

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Solution

The fourth proportional to 169,846.28, 254,770.02 and 51,518.64 is: 77,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,846.28 : 254,770.02 = 51,518.64 : x
  2. Step 2: Convert to fraction form
    169,846.28/254,770.02 = 51,518.64/x
  3. Step 3: Cross multiply
    169,846.28x = 254,770.02 × 51,518.64
  4. Step 4: Simplify right side
    169,846.28x = 13,125,404,943.17
  5. Step 5: Solve for x
    x = 13,125,404,943.17/169,846.28
  6. Step 6: Final answer
    x = 77,278.14

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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.