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Finding the Fourth Proportional to 180,741.31, 249,416.21 and 100,170.20

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Solution

The fourth proportional to 180,741.31, 249,416.21 and 100,170.20 is: 138,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,741.31 : 249,416.21 = 100,170.20 : x
  2. Step 2: Convert to fraction form
    180,741.31/249,416.21 = 100,170.20/x
  3. Step 3: Cross multiply
    180,741.31x = 249,416.21 × 100,170.20
  4. Step 4: Simplify right side
    180,741.31x = 24,984,072,512.91
  5. Step 5: Solve for x
    x = 24,984,072,512.91/180,741.31
  6. Step 6: Final answer
    x = 138,231.12

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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.