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Finding the Fourth Proportional to 180,460.75, 270,538.87 and 113,753.81

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Solution

The fourth proportional to 180,460.75, 270,538.87 and 113,753.81 is: 170,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,460.75 : 270,538.87 = 113,753.81 : x
  2. Step 2: Convert to fraction form
    180,460.75/270,538.87 = 113,753.81/x
  3. Step 3: Cross multiply
    180,460.75x = 270,538.87 × 113,753.81
  4. Step 4: Simplify right side
    180,460.75x = 30,774,827,215.59
  5. Step 5: Solve for x
    x = 30,774,827,215.59/180,460.75
  6. Step 6: Final answer
    x = 170,534.74

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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.