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Finding the Fourth Proportional to 170,217, 255,442.16 and 59,409

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Solution

The fourth proportional to 170,217, 255,442.16 and 59,409 is: 89,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,217 : 255,442.16 = 59,409 : x
  2. Step 2: Convert to fraction form
    170,217/255,442.16 = 59,409/x
  3. Step 3: Cross multiply
    170,217x = 255,442.16 × 59,409
  4. Step 4: Simplify right side
    170,217x = 15,175,563,283.44
  5. Step 5: Solve for x
    x = 15,175,563,283.44/170,217
  6. Step 6: Final answer
    x = 89,154.22

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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.