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Finding the Fourth Proportional to 195,431.80, 293,060.10 and 77,042.20

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Solution

The fourth proportional to 195,431.80, 293,060.10 and 77,042.20 is: 115,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,431.80 : 293,060.10 = 77,042.20 : x
  2. Step 2: Convert to fraction form
    195,431.80/293,060.10 = 77,042.20/x
  3. Step 3: Cross multiply
    195,431.80x = 293,060.10 × 77,042.20
  4. Step 4: Simplify right side
    195,431.80x = 22,577,994,836.22
  5. Step 5: Solve for x
    x = 22,577,994,836.22/195,431.80
  6. Step 6: Final answer
    x = 115,528.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.