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Finding the Fourth Proportional to 159,282.36, 238,923.54 and 40,953.78

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Solution

The fourth proportional to 159,282.36, 238,923.54 and 40,953.78 is: 61,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,282.36 : 238,923.54 = 40,953.78 : x
  2. Step 2: Convert to fraction form
    159,282.36/238,923.54 = 40,953.78/x
  3. Step 3: Cross multiply
    159,282.36x = 238,923.54 × 40,953.78
  4. Step 4: Simplify right side
    159,282.36x = 9,784,822,093.98
  5. Step 5: Solve for x
    x = 9,784,822,093.98/159,282.36
  6. Step 6: Final answer
    x = 61,430.67

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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.