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Finding the Fourth Proportional to 180,928.26, 249,648.72 and 109,260.30

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Solution

The fourth proportional to 180,928.26, 249,648.72 and 109,260.30 is: 150,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,928.26 : 249,648.72 = 109,260.30 : x
  2. Step 2: Convert to fraction form
    180,928.26/249,648.72 = 109,260.30/x
  3. Step 3: Cross multiply
    180,928.26x = 249,648.72 × 109,260.30
  4. Step 4: Simplify right side
    180,928.26x = 27,276,694,041.82
  5. Step 5: Solve for x
    x = 27,276,694,041.82/180,928.26
  6. Step 6: Final answer
    x = 150,759.72

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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.