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Finding the Fourth Proportional to 277,720.10, 416,581.71 and 67,358.18

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Solution

The fourth proportional to 277,720.10, 416,581.71 and 67,358.18 is: 101,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,720.10 : 416,581.71 = 67,358.18 : x
  2. Step 2: Convert to fraction form
    277,720.10/416,581.71 = 67,358.18/x
  3. Step 3: Cross multiply
    277,720.10x = 416,581.71 × 67,358.18
  4. Step 4: Simplify right side
    277,720.10x = 28,060,185,806.89
  5. Step 5: Solve for x
    x = 28,060,185,806.89/277,720.10
  6. Step 6: Final answer
    x = 101,037.65

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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.