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Finding the Fourth Proportional to 195,800.74, 293,798.67 and 77,557.30

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Solution

The fourth proportional to 195,800.74, 293,798.67 and 77,557.30 is: 116,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,800.74 : 293,798.67 = 77,557.30 : x
  2. Step 2: Convert to fraction form
    195,800.74/293,798.67 = 77,557.30/x
  3. Step 3: Cross multiply
    195,800.74x = 293,798.67 × 77,557.30
  4. Step 4: Simplify right side
    195,800.74x = 22,786,231,588.79
  5. Step 5: Solve for x
    x = 22,786,231,588.79/195,800.74
  6. Step 6: Final answer
    x = 116,374.59

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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.