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Finding the Fourth Proportional to 180,704.67, 249,382.40 and 100,130.43

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Solution

The fourth proportional to 180,704.67, 249,382.40 and 100,130.43 is: 138,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,704.67 : 249,382.40 = 100,130.43 : x
  2. Step 2: Convert to fraction form
    180,704.67/249,382.40 = 100,130.43/x
  3. Step 3: Cross multiply
    180,704.67x = 249,382.40 × 100,130.43
  4. Step 4: Simplify right side
    180,704.67x = 24,970,765,978.19
  5. Step 5: Solve for x
    x = 24,970,765,978.19/180,704.67
  6. Step 6: Final answer
    x = 138,185.50

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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.