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Finding the Fourth Proportional to 109,570.46, 151,207.16 and 59,269.46

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Solution

The fourth proportional to 109,570.46, 151,207.16 and 59,269.46 is: 81,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,570.46 : 151,207.16 = 59,269.46 : x
  2. Step 2: Convert to fraction form
    109,570.46/151,207.16 = 59,269.46/x
  3. Step 3: Cross multiply
    109,570.46x = 151,207.16 × 59,269.46
  4. Step 4: Simplify right side
    109,570.46x = 8,961,966,721.33
  5. Step 5: Solve for x
    x = 8,961,966,721.33/109,570.46
  6. Step 6: Final answer
    x = 81,791.81

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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.