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Finding the Fourth Proportional to 201,189.93, 301,831.61 and 59,029.46

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Solution

The fourth proportional to 201,189.93, 301,831.61 and 59,029.46 is: 88,557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,189.93 : 301,831.61 = 59,029.46 : x
  2. Step 2: Convert to fraction form
    201,189.93/301,831.61 = 59,029.46/x
  3. Step 3: Cross multiply
    201,189.93x = 301,831.61 × 59,029.46
  4. Step 4: Simplify right side
    201,189.93x = 17,816,957,408.66
  5. Step 5: Solve for x
    x = 17,816,957,408.66/201,189.93
  6. Step 6: Final answer
    x = 88,557.90

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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.