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Finding the Fourth Proportional to 180,744.84, 249,427.91 and 100,177.57

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Solution

The fourth proportional to 180,744.84, 249,427.91 and 100,177.57 is: 138,245.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,744.84 : 249,427.91 = 100,177.57 : x
  2. Step 2: Convert to fraction form
    180,744.84/249,427.91 = 100,177.57/x
  3. Step 3: Cross multiply
    180,744.84x = 249,427.91 × 100,177.57
  4. Step 4: Simplify right side
    180,744.84x = 24,987,081,913.98
  5. Step 5: Solve for x
    x = 24,987,081,913.98/180,744.84
  6. Step 6: Final answer
    x = 138,245.06

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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.