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Finding the Fourth Proportional to 180,813.69, 249,531.12 and 103,296.18

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Solution

The fourth proportional to 180,813.69, 249,531.12 and 103,296.18 is: 142,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,813.69 : 249,531.12 = 103,296.18 : x
  2. Step 2: Convert to fraction form
    180,813.69/249,531.12 = 103,296.18/x
  3. Step 3: Cross multiply
    180,813.69x = 249,531.12 × 103,296.18
  4. Step 4: Simplify right side
    180,813.69x = 25,775,611,487.12
  5. Step 5: Solve for x
    x = 25,775,611,487.12/180,813.69
  6. Step 6: Final answer
    x = 142,553.43

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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.