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Finding the Fourth Proportional to 133,852.20, 200,822.04 and 96,381.60

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Solution

The fourth proportional to 133,852.20, 200,822.04 and 96,381.60 is: 144,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852.20 : 200,822.04 = 96,381.60 : x
  2. Step 2: Convert to fraction form
    133,852.20/200,822.04 = 96,381.60/x
  3. Step 3: Cross multiply
    133,852.20x = 200,822.04 × 96,381.60
  4. Step 4: Simplify right side
    133,852.20x = 19,355,549,530.46
  5. Step 5: Solve for x
    x = 19,355,549,530.46/133,852.20
  6. Step 6: Final answer
    x = 144,603.90

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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.