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Finding the Fourth Proportional to 195,141.84, 292,713.48 and 47,397.84

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Solution

The fourth proportional to 195,141.84, 292,713.48 and 47,397.84 is: 71,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,141.84 : 292,713.48 = 47,397.84 : x
  2. Step 2: Convert to fraction form
    195,141.84/292,713.48 = 47,397.84/x
  3. Step 3: Cross multiply
    195,141.84x = 292,713.48 × 47,397.84
  4. Step 4: Simplify right side
    195,141.84x = 13,873,986,690.88
  5. Step 5: Solve for x
    x = 13,873,986,690.88/195,141.84
  6. Step 6: Final answer
    x = 71,096.93

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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.