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Finding the Fourth Proportional to 180,573.44, 249,232.82 and 120,146.63

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Solution

The fourth proportional to 180,573.44, 249,232.82 and 120,146.63 is: 165,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,573.44 : 249,232.82 = 120,146.63 : x
  2. Step 2: Convert to fraction form
    180,573.44/249,232.82 = 120,146.63/x
  3. Step 3: Cross multiply
    180,573.44x = 249,232.82 × 120,146.63
  4. Step 4: Simplify right side
    180,573.44x = 29,944,481,561.50
  5. Step 5: Solve for x
    x = 29,944,481,561.50/180,573.44
  6. Step 6: Final answer
    x = 165,829.94

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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.