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Finding the Fourth Proportional to 201,189.57, 301,831.10 and 59,029.11

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Solution

The fourth proportional to 201,189.57, 301,831.10 and 59,029.11 is: 88,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,189.57 : 301,831.10 = 59,029.11 : x
  2. Step 2: Convert to fraction form
    201,189.57/301,831.10 = 59,029.11/x
  3. Step 3: Cross multiply
    201,189.57x = 301,831.10 × 59,029.11
  4. Step 4: Simplify right side
    201,189.57x = 17,816,821,203.32
  5. Step 5: Solve for x
    x = 17,816,821,203.32/201,189.57
  6. Step 6: Final answer
    x = 88,557.38

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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.