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Finding the Fourth Proportional to 180,768.34, 249,475.25 and 100,221.13

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Solution

The fourth proportional to 180,768.34, 249,475.25 and 100,221.13 is: 138,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,768.34 : 249,475.25 = 100,221.13 : x
  2. Step 2: Convert to fraction form
    180,768.34/249,475.25 = 100,221.13/x
  3. Step 3: Cross multiply
    180,768.34x = 249,475.25 × 100,221.13
  4. Step 4: Simplify right side
    180,768.34x = 25,002,691,462.03
  5. Step 5: Solve for x
    x = 25,002,691,462.03/180,768.34
  6. Step 6: Final answer
    x = 138,313.44

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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.