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Finding the Fourth Proportional to 180,851.08, 249,626.46 and 109,219

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Solution

The fourth proportional to 180,851.08, 249,626.46 and 109,219 is: 150,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,851.08 : 249,626.46 = 109,219 : x
  2. Step 2: Convert to fraction form
    180,851.08/249,626.46 = 109,219/x
  3. Step 3: Cross multiply
    180,851.08x = 249,626.46 × 109,219
  4. Step 4: Simplify right side
    180,851.08x = 27,263,952,334.74
  5. Step 5: Solve for x
    x = 27,263,952,334.74/180,851.08
  6. Step 6: Final answer
    x = 150,753.61

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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.