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Finding the Fourth Proportional to 103,133.70, 154,678.95 and 50,580.90

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Solution

The fourth proportional to 103,133.70, 154,678.95 and 50,580.90 is: 75,860.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,133.70 : 154,678.95 = 50,580.90 : x
  2. Step 2: Convert to fraction form
    103,133.70/154,678.95 = 50,580.90/x
  3. Step 3: Cross multiply
    103,133.70x = 154,678.95 × 50,580.90
  4. Step 4: Simplify right side
    103,133.70x = 7,823,800,502.06
  5. Step 5: Solve for x
    x = 7,823,800,502.06/103,133.70
  6. Step 6: Final answer
    x = 75,860.76

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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.