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Finding the Fourth Proportional to 169,842.42, 254,764.54 and 51,513.87

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Solution

The fourth proportional to 169,842.42, 254,764.54 and 51,513.87 is: 77,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,842.42 : 254,764.54 = 51,513.87 : x
  2. Step 2: Convert to fraction form
    169,842.42/254,764.54 = 51,513.87/x
  3. Step 3: Cross multiply
    169,842.42x = 254,764.54 × 51,513.87
  4. Step 4: Simplify right side
    169,842.42x = 13,123,908,413.93
  5. Step 5: Solve for x
    x = 13,123,908,413.93/169,842.42
  6. Step 6: Final answer
    x = 77,271.09

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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.