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Finding the Fourth Proportional to 180,744.67, 249,427.66 and 100,177.39

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Solution

The fourth proportional to 180,744.67, 249,427.66 and 100,177.39 is: 138,244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,744.67 : 249,427.66 = 100,177.39 : x
  2. Step 2: Convert to fraction form
    180,744.67/249,427.66 = 100,177.39/x
  3. Step 3: Cross multiply
    180,744.67x = 249,427.66 × 100,177.39
  4. Step 4: Simplify right side
    180,744.67x = 24,987,012,503.53
  5. Step 5: Solve for x
    x = 24,987,012,503.53/180,744.67
  6. Step 6: Final answer
    x = 138,244.81

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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.