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Finding the Fourth Proportional to 180,047.86, 248,463.13 and 98,374.36

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Solution

The fourth proportional to 180,047.86, 248,463.13 and 98,374.36 is: 135,755.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,047.86 : 248,463.13 = 98,374.36 : x
  2. Step 2: Convert to fraction form
    180,047.86/248,463.13 = 98,374.36/x
  3. Step 3: Cross multiply
    180,047.86x = 248,463.13 × 98,374.36
  4. Step 4: Simplify right side
    180,047.86x = 24,442,401,180.57
  5. Step 5: Solve for x
    x = 24,442,401,180.57/180,047.86
  6. Step 6: Final answer
    x = 135,755.02

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Why These Related Problems?

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