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Finding the Fourth Proportional to 192,653.64, 288,981.27 and 52,412.13

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Solution

The fourth proportional to 192,653.64, 288,981.27 and 52,412.13 is: 78,618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,653.64 : 288,981.27 = 52,412.13 : x
  2. Step 2: Convert to fraction form
    192,653.64/288,981.27 = 52,412.13/x
  3. Step 3: Cross multiply
    192,653.64x = 288,981.27 × 52,412.13
  4. Step 4: Simplify right side
    192,653.64x = 15,146,123,890.81
  5. Step 5: Solve for x
    x = 15,146,123,890.81/192,653.64
  6. Step 6: Final answer
    x = 78,618.42

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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.