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Finding the Fourth Proportional to 195,888.42, 293,943.30 and 83,557.95

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Solution

The fourth proportional to 195,888.42, 293,943.30 and 83,557.95 is: 125,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,888.42 : 293,943.30 = 83,557.95 : x
  2. Step 2: Convert to fraction form
    195,888.42/293,943.30 = 83,557.95/x
  3. Step 3: Cross multiply
    195,888.42x = 293,943.30 × 83,557.95
  4. Step 4: Simplify right side
    195,888.42x = 24,561,299,564.24
  5. Step 5: Solve for x
    x = 24,561,299,564.24/195,888.42
  6. Step 6: Final answer
    x = 125,384.13

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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.