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Finding the Fourth Proportional to 180,452.96, 249,021.64 and 99,880.56

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Solution

The fourth proportional to 180,452.96, 249,021.64 and 99,880.56 is: 137,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,452.96 : 249,021.64 = 99,880.56 : x
  2. Step 2: Convert to fraction form
    180,452.96/249,021.64 = 99,880.56/x
  3. Step 3: Cross multiply
    180,452.96x = 249,021.64 × 99,880.56
  4. Step 4: Simplify right side
    180,452.96x = 24,872,420,855.32
  5. Step 5: Solve for x
    x = 24,872,420,855.32/180,452.96
  6. Step 6: Final answer
    x = 137,833.27

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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.