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Finding the Fourth Proportional to 120,302.52, 165,907.17 and 103,300.98

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Solution

The fourth proportional to 120,302.52, 165,907.17 and 103,300.98 is: 142,460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,302.52 : 165,907.17 = 103,300.98 : x
  2. Step 2: Convert to fraction form
    120,302.52/165,907.17 = 103,300.98/x
  3. Step 3: Cross multiply
    120,302.52x = 165,907.17 × 103,300.98
  4. Step 4: Simplify right side
    120,302.52x = 17,138,373,250.03
  5. Step 5: Solve for x
    x = 17,138,373,250.03/120,302.52
  6. Step 6: Final answer
    x = 142,460.63

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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.