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Finding the Fourth Proportional to 158,119.86, 237,257.70 and 73,885.84

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Solution

The fourth proportional to 158,119.86, 237,257.70 and 73,885.84 is: 110,865.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,119.86 : 237,257.70 = 73,885.84 : x
  2. Step 2: Convert to fraction form
    158,119.86/237,257.70 = 73,885.84/x
  3. Step 3: Cross multiply
    158,119.86x = 237,257.70 × 73,885.84
  4. Step 4: Simplify right side
    158,119.86x = 17,529,985,340.93
  5. Step 5: Solve for x
    x = 17,529,985,340.93/158,119.86
  6. Step 6: Final answer
    x = 110,865.17

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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.