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Finding the Fourth Proportional to 169,864.68, 254,797.56 and 51,537

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Solution

The fourth proportional to 169,864.68, 254,797.56 and 51,537 is: 77,305.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,864.68 : 254,797.56 = 51,537 : x
  2. Step 2: Convert to fraction form
    169,864.68/254,797.56 = 51,537/x
  3. Step 3: Cross multiply
    169,864.68x = 254,797.56 × 51,537
  4. Step 4: Simplify right side
    169,864.68x = 13,131,501,849.72
  5. Step 5: Solve for x
    x = 13,131,501,849.72/169,864.68
  6. Step 6: Final answer
    x = 77,305.66

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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.