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Finding the Fourth Proportional to 102,199.97, 141,026.19 and 75,356.98

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Solution

The fourth proportional to 102,199.97, 141,026.19 and 75,356.98 is: 103,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,199.97 : 141,026.19 = 75,356.98 : x
  2. Step 2: Convert to fraction form
    102,199.97/141,026.19 = 75,356.98/x
  3. Step 3: Cross multiply
    102,199.97x = 141,026.19 × 75,356.98
  4. Step 4: Simplify right side
    102,199.97x = 10,627,307,779.31
  5. Step 5: Solve for x
    x = 10,627,307,779.31/102,199.97
  6. Step 6: Final answer
    x = 103,985.43

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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.