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Finding the Fourth Proportional to 133,712.10, 200,568.15 and 96,533.10

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Solution

The fourth proportional to 133,712.10, 200,568.15 and 96,533.10 is: 144,799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,712.10 : 200,568.15 = 96,533.10 : x
  2. Step 2: Convert to fraction form
    133,712.10/200,568.15 = 96,533.10/x
  3. Step 3: Cross multiply
    133,712.10x = 200,568.15 × 96,533.10
  4. Step 4: Simplify right side
    133,712.10x = 19,361,465,280.77
  5. Step 5: Solve for x
    x = 19,361,465,280.77/133,712.10
  6. Step 6: Final answer
    x = 144,799.65

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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.