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Finding the Fourth Proportional to 114,117.48, 171,192.60 and 35,238.42

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Solution

The fourth proportional to 114,117.48, 171,192.60 and 35,238.42 is: 52,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,117.48 : 171,192.60 = 35,238.42 : x
  2. Step 2: Convert to fraction form
    114,117.48/171,192.60 = 35,238.42/x
  3. Step 3: Cross multiply
    114,117.48x = 171,192.60 × 35,238.42
  4. Step 4: Simplify right side
    114,117.48x = 6,032,556,739.69
  5. Step 5: Solve for x
    x = 6,032,556,739.69/114,117.48
  6. Step 6: Final answer
    x = 52,862.69

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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.