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Finding the Fourth Proportional to 198,123.84, 297,259.74 and 79,828.74

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Solution

The fourth proportional to 198,123.84, 297,259.74 and 79,828.74 is: 119,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,123.84 : 297,259.74 = 79,828.74 : x
  2. Step 2: Convert to fraction form
    198,123.84/297,259.74 = 79,828.74/x
  3. Step 3: Cross multiply
    198,123.84x = 297,259.74 × 79,828.74
  4. Step 4: Simplify right side
    198,123.84x = 23,729,870,496.93
  5. Step 5: Solve for x
    x = 23,729,870,496.93/198,123.84
  6. Step 6: Final answer
    x = 119,772.92

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1.5x scale

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.