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Finding the Fourth Proportional to 180,127.80, 269,900.10 and 113,448.60

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Solution

The fourth proportional to 180,127.80, 269,900.10 and 113,448.60 is: 169,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,127.80 : 269,900.10 = 113,448.60 : x
  2. Step 2: Convert to fraction form
    180,127.80/269,900.10 = 113,448.60/x
  3. Step 3: Cross multiply
    180,127.80x = 269,900.10 × 113,448.60
  4. Step 4: Simplify right side
    180,127.80x = 30,619,788,484.86
  5. Step 5: Solve for x
    x = 30,619,788,484.86/180,127.80
  6. Step 6: Final answer
    x = 169,989.24

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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.