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Finding the Fourth Proportional to 158,543.84, 237,855.36 and 111,887.84

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Solution

The fourth proportional to 158,543.84, 237,855.36 and 111,887.84 is: 167,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,543.84 : 237,855.36 = 111,887.84 : x
  2. Step 2: Convert to fraction form
    158,543.84/237,855.36 = 111,887.84/x
  3. Step 3: Cross multiply
    158,543.84x = 237,855.36 × 111,887.84
  4. Step 4: Simplify right side
    158,543.84x = 26,613,122,462.82
  5. Step 5: Solve for x
    x = 26,613,122,462.82/158,543.84
  6. Step 6: Final answer
    x = 167,859.71

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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.