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Finding the Fourth Proportional to 265,209.14, 365,996.34 and 144,358.23

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Solution

The fourth proportional to 265,209.14, 365,996.34 and 144,358.23 is: 199,218.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,209.14 : 365,996.34 = 144,358.23 : x
  2. Step 2: Convert to fraction form
    265,209.14/365,996.34 = 144,358.23/x
  3. Step 3: Cross multiply
    265,209.14x = 365,996.34 × 144,358.23
  4. Step 4: Simplify right side
    265,209.14x = 52,834,583,828.88
  5. Step 5: Solve for x
    x = 52,834,583,828.88/265,209.14
  6. Step 6: Final answer
    x = 199,218.57

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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.