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Finding the Fourth Proportional to 180,852.30, 249,578.28 and 100,280.79

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Solution

The fourth proportional to 180,852.30, 249,578.28 and 100,280.79 is: 138,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,852.30 : 249,578.28 = 100,280.79 : x
  2. Step 2: Convert to fraction form
    180,852.30/249,578.28 = 100,280.79/x
  3. Step 3: Cross multiply
    180,852.30x = 249,578.28 × 100,280.79
  4. Step 4: Simplify right side
    180,852.30x = 25,027,907,085.24
  5. Step 5: Solve for x
    x = 25,027,907,085.24/180,852.30
  6. Step 6: Final answer
    x = 138,388.66

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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.