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Finding the Fourth Proportional to 180,476.59, 270,981.02 and 100,670.49

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Solution

The fourth proportional to 180,476.59, 270,981.02 and 100,670.49 is: 151,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,476.59 : 270,981.02 = 100,670.49 : x
  2. Step 2: Convert to fraction form
    180,476.59/270,981.02 = 100,670.49/x
  3. Step 3: Cross multiply
    180,476.59x = 270,981.02 × 100,670.49
  4. Step 4: Simplify right side
    180,476.59x = 27,279,792,064.10
  5. Step 5: Solve for x
    x = 27,279,792,064.10/180,476.59
  6. Step 6: Final answer
    x = 151,154.19

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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.