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Finding the Fourth Proportional to 192,123.36, 288,184.59 and 106,788.45

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Solution

The fourth proportional to 192,123.36, 288,184.59 and 106,788.45 is: 160,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,123.36 : 288,184.59 = 106,788.45 : x
  2. Step 2: Convert to fraction form
    192,123.36/288,184.59 = 106,788.45/x
  3. Step 3: Cross multiply
    192,123.36x = 288,184.59 × 106,788.45
  4. Step 4: Simplify right side
    192,123.36x = 30,774,785,679.99
  5. Step 5: Solve for x
    x = 30,774,785,679.99/192,123.36
  6. Step 6: Final answer
    x = 160,182.42

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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.