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Finding the Fourth Proportional to 180,851.64, 249,578.26 and 100,282.56

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Solution

The fourth proportional to 180,851.64, 249,578.26 and 100,282.56 is: 138,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,851.64 : 249,578.26 = 100,282.56 : x
  2. Step 2: Convert to fraction form
    180,851.64/249,578.26 = 100,282.56/x
  3. Step 3: Cross multiply
    180,851.64x = 249,578.26 × 100,282.56
  4. Step 4: Simplify right side
    180,851.64x = 25,028,346,582.44
  5. Step 5: Solve for x
    x = 25,028,346,582.44/180,851.64
  6. Step 6: Final answer
    x = 138,391.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.