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Finding the Fourth Proportional to 170,136, 255,206.16 and 59,328

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Solution

The fourth proportional to 170,136, 255,206.16 and 59,328 is: 88,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,136 : 255,206.16 = 59,328 : x
  2. Step 2: Convert to fraction form
    170,136/255,206.16 = 59,328/x
  3. Step 3: Cross multiply
    170,136x = 255,206.16 × 59,328
  4. Step 4: Simplify right side
    170,136x = 15,140,871,060.48
  5. Step 5: Solve for x
    x = 15,140,871,060.48/170,136
  6. Step 6: Final answer
    x = 88,992.75

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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.