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Finding the Fourth Proportional to 170,205, 255,424.14 and 59,397

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Solution

The fourth proportional to 170,205, 255,424.14 and 59,397 is: 89,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,205 : 255,424.14 = 59,397 : x
  2. Step 2: Convert to fraction form
    170,205/255,424.14 = 59,397/x
  3. Step 3: Cross multiply
    170,205x = 255,424.14 × 59,397
  4. Step 4: Simplify right side
    170,205x = 15,171,427,643.58
  5. Step 5: Solve for x
    x = 15,171,427,643.58/170,205
  6. Step 6: Final answer
    x = 89,136.20

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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.