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Finding the Fourth Proportional to 180,377.28, 248,899.32 and 99,794.16

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Solution

The fourth proportional to 180,377.28, 248,899.32 and 99,794.16 is: 137,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,377.28 : 248,899.32 = 99,794.16 : x
  2. Step 2: Convert to fraction form
    180,377.28/248,899.32 = 99,794.16/x
  3. Step 3: Cross multiply
    180,377.28x = 248,899.32 × 99,794.16
  4. Step 4: Simplify right side
    180,377.28x = 24,838,698,563.97
  5. Step 5: Solve for x
    x = 24,838,698,563.97/180,377.28
  6. Step 6: Final answer
    x = 137,704.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.