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Finding the Fourth Proportional to 195,364.80, 293,047.20 and 193,982.40

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Solution

The fourth proportional to 195,364.80, 293,047.20 and 193,982.40 is: 290,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,364.80 : 293,047.20 = 193,982.40 : x
  2. Step 2: Convert to fraction form
    195,364.80/293,047.20 = 193,982.40/x
  3. Step 3: Cross multiply
    195,364.80x = 293,047.20 × 193,982.40
  4. Step 4: Simplify right side
    195,364.80x = 56,845,999,169.28
  5. Step 5: Solve for x
    x = 56,845,999,169.28/195,364.80
  6. Step 6: Final answer
    x = 290,973.60

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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.