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Finding the Fourth Proportional to 180,880.80, 249,564.96 and 105,414.72

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Solution

The fourth proportional to 180,880.80, 249,564.96 and 105,414.72 is: 145,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,880.80 : 249,564.96 = 105,414.72 : x
  2. Step 2: Convert to fraction form
    180,880.80/249,564.96 = 105,414.72/x
  3. Step 3: Cross multiply
    180,880.80x = 249,564.96 × 105,414.72
  4. Step 4: Simplify right side
    180,880.80x = 26,307,820,380.21
  5. Step 5: Solve for x
    x = 26,307,820,380.21/180,880.80
  6. Step 6: Final answer
    x = 145,442.86

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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.