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Finding the Fourth Proportional to 195,534.40, 293,398.80 and 77,209.60

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Solution

The fourth proportional to 195,534.40, 293,398.80 and 77,209.60 is: 115,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,534.40 : 293,398.80 = 77,209.60 : x
  2. Step 2: Convert to fraction form
    195,534.40/293,398.80 = 77,209.60/x
  3. Step 3: Cross multiply
    195,534.40x = 293,398.80 × 77,209.60
  4. Step 4: Simplify right side
    195,534.40x = 22,653,203,988.48
  5. Step 5: Solve for x
    x = 22,653,203,988.48/195,534.40
  6. Step 6: Final answer
    x = 115,852.78

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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.