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Finding the Fourth Proportional to 180,771.36, 249,479.40 and 100,224.12

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Solution

The fourth proportional to 180,771.36, 249,479.40 and 100,224.12 is: 138,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,771.36 : 249,479.40 = 100,224.12 : x
  2. Step 2: Convert to fraction form
    180,771.36/249,479.40 = 100,224.12/x
  3. Step 3: Cross multiply
    180,771.36x = 249,479.40 × 100,224.12
  4. Step 4: Simplify right side
    180,771.36x = 25,003,853,323.13
  5. Step 5: Solve for x
    x = 25,003,853,323.13/180,771.36
  6. Step 6: Final answer
    x = 138,317.56

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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.