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Finding the Fourth Proportional to 195,809.40, 293,811.30 and 77,484.60

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Solution

The fourth proportional to 195,809.40, 293,811.30 and 77,484.60 is: 116,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,809.40 : 293,811.30 = 77,484.60 : x
  2. Step 2: Convert to fraction form
    195,809.40/293,811.30 = 77,484.60/x
  3. Step 3: Cross multiply
    195,809.40x = 293,811.30 × 77,484.60
  4. Step 4: Simplify right side
    195,809.40x = 22,765,851,055.98
  5. Step 5: Solve for x
    x = 22,765,851,055.98/195,809.40
  6. Step 6: Final answer
    x = 116,265.36

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Why These Related Problems?

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