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Finding the Fourth Proportional to 180,721.35, 249,396.93 and 100,150.20

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Solution

The fourth proportional to 180,721.35, 249,396.93 and 100,150.20 is: 138,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,721.35 : 249,396.93 = 100,150.20 : x
  2. Step 2: Convert to fraction form
    180,721.35/249,396.93 = 100,150.20/x
  3. Step 3: Cross multiply
    180,721.35x = 249,396.93 × 100,150.20
  4. Step 4: Simplify right side
    180,721.35x = 24,977,152,418.89
  5. Step 5: Solve for x
    x = 24,977,152,418.89/180,721.35
  6. Step 6: Final answer
    x = 138,208.09

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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.