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Finding the Fourth Proportional to 102,193.80, 141,030.18 and 61,899

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Solution

The fourth proportional to 102,193.80, 141,030.18 and 61,899 is: 85,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,193.80 : 141,030.18 = 61,899 : x
  2. Step 2: Convert to fraction form
    102,193.80/141,030.18 = 61,899/x
  3. Step 3: Cross multiply
    102,193.80x = 141,030.18 × 61,899
  4. Step 4: Simplify right side
    102,193.80x = 8,729,627,111.82
  5. Step 5: Solve for x
    x = 8,729,627,111.82/102,193.80
  6. Step 6: Final answer
    x = 85,422.28

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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.