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Finding the Fourth Proportional to 180,947.70, 249,703 and 104,464.22

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Solution

The fourth proportional to 180,947.70, 249,703 and 104,464.22 is: 144,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,947.70 : 249,703 = 104,464.22 : x
  2. Step 2: Convert to fraction form
    180,947.70/249,703 = 104,464.22/x
  3. Step 3: Cross multiply
    180,947.70x = 249,703 × 104,464.22
  4. Step 4: Simplify right side
    180,947.70x = 26,085,029,126.66
  5. Step 5: Solve for x
    x = 26,085,029,126.66/180,947.70
  6. Step 6: Final answer
    x = 144,157.84

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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.