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Finding the Fourth Proportional to 106,953, 160,587.19 and 59,660.48

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Solution

The fourth proportional to 106,953, 160,587.19 and 59,660.48 is: 89,578.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,953 : 160,587.19 = 59,660.48 : x
  2. Step 2: Convert to fraction form
    106,953/160,587.19 = 59,660.48/x
  3. Step 3: Cross multiply
    106,953x = 160,587.19 × 59,660.48
  4. Step 4: Simplify right side
    106,953x = 9,580,708,837.25
  5. Step 5: Solve for x
    x = 9,580,708,837.25/106,953
  6. Step 6: Final answer
    x = 89,578.68

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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.