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Finding the Fourth Proportional to 170,100, 255,152.16 and 59,292

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Solution

The fourth proportional to 170,100, 255,152.16 and 59,292 is: 88,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,100 : 255,152.16 = 59,292 : x
  2. Step 2: Convert to fraction form
    170,100/255,152.16 = 59,292/x
  3. Step 3: Cross multiply
    170,100x = 255,152.16 × 59,292
  4. Step 4: Simplify right side
    170,100x = 15,128,481,870.72
  5. Step 5: Solve for x
    x = 15,128,481,870.72/170,100
  6. Step 6: Final answer
    x = 88,938.75

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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.