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Finding the Fourth Proportional to 180,753.12, 249,441.16 and 100,182.44

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Solution

The fourth proportional to 180,753.12, 249,441.16 and 100,182.44 is: 138,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,753.12 : 249,441.16 = 100,182.44 : x
  2. Step 2: Convert to fraction form
    180,753.12/249,441.16 = 100,182.44/x
  3. Step 3: Cross multiply
    180,753.12x = 249,441.16 × 100,182.44
  4. Step 4: Simplify right side
    180,753.12x = 24,989,624,045.23
  5. Step 5: Solve for x
    x = 24,989,624,045.23/180,753.12
  6. Step 6: Final answer
    x = 138,252.80

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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.