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Finding the Fourth Proportional to 190,908, 286,306.92 and 57,756.96

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Solution

The fourth proportional to 190,908, 286,306.92 and 57,756.96 is: 86,618.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,908 : 286,306.92 = 57,756.96 : x
  2. Step 2: Convert to fraction form
    190,908/286,306.92 = 57,756.96/x
  3. Step 3: Cross multiply
    190,908x = 286,306.92 × 57,756.96
  4. Step 4: Simplify right side
    190,908x = 16,536,217,326.16
  5. Step 5: Solve for x
    x = 16,536,217,326.16/190,908
  6. Step 6: Final answer
    x = 86,618.78

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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.