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Finding the Fourth Proportional to 195,853.30, 293,722.35 and 77,485.30

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Solution

The fourth proportional to 195,853.30, 293,722.35 and 77,485.30 is: 116,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,853.30 : 293,722.35 = 77,485.30 : x
  2. Step 2: Convert to fraction form
    195,853.30/293,722.35 = 77,485.30/x
  3. Step 3: Cross multiply
    195,853.30x = 293,722.35 × 77,485.30
  4. Step 4: Simplify right side
    195,853.30x = 22,759,164,406.46
  5. Step 5: Solve for x
    x = 22,759,164,406.46/195,853.30
  6. Step 6: Final answer
    x = 116,205.16

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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.