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Finding the Fourth Proportional to 180,760.47, 249,464.37 and 100,213.26

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Solution

The fourth proportional to 180,760.47, 249,464.37 and 100,213.26 is: 138,302.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,760.47 : 249,464.37 = 100,213.26 : x
  2. Step 2: Convert to fraction form
    180,760.47/249,464.37 = 100,213.26/x
  3. Step 3: Cross multiply
    180,760.47x = 249,464.37 × 100,213.26
  4. Step 4: Simplify right side
    180,760.47x = 24,999,636,524.22
  5. Step 5: Solve for x
    x = 24,999,636,524.22/180,760.47
  6. Step 6: Final answer
    x = 138,302.57

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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.