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Finding the Fourth Proportional to 171,117.92, 256,624.56 and 60,284

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Solution

The fourth proportional to 171,117.92, 256,624.56 and 60,284 is: 90,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,117.92 : 256,624.56 = 60,284 : x
  2. Step 2: Convert to fraction form
    171,117.92/256,624.56 = 60,284/x
  3. Step 3: Cross multiply
    171,117.92x = 256,624.56 × 60,284
  4. Step 4: Simplify right side
    171,117.92x = 15,470,354,975.04
  5. Step 5: Solve for x
    x = 15,470,354,975.04/171,117.92
  6. Step 6: Final answer
    x = 90,407.57

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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.