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Finding the Fourth Proportional to 180,738.33, 249,415.05 and 100,165.14

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Solution

The fourth proportional to 180,738.33, 249,415.05 and 100,165.14 is: 138,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,738.33 : 249,415.05 = 100,165.14 : x
  2. Step 2: Convert to fraction form
    180,738.33/249,415.05 = 100,165.14/x
  3. Step 3: Cross multiply
    180,738.33x = 249,415.05 × 100,165.14
  4. Step 4: Simplify right side
    180,738.33x = 24,982,693,401.36
  5. Step 5: Solve for x
    x = 24,982,693,401.36/180,738.33
  6. Step 6: Final answer
    x = 138,225.76

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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.