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Finding the Fourth Proportional to 133,494.16, 200,030.40 and 108,412.12

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Solution

The fourth proportional to 133,494.16, 200,030.40 and 108,412.12 is: 162,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,494.16 : 200,030.40 = 108,412.12 : x
  2. Step 2: Convert to fraction form
    133,494.16/200,030.40 = 108,412.12/x
  3. Step 3: Cross multiply
    133,494.16x = 200,030.40 × 108,412.12
  4. Step 4: Simplify right side
    133,494.16x = 21,685,719,728.45
  5. Step 5: Solve for x
    x = 21,685,719,728.45/133,494.16
  6. Step 6: Final answer
    x = 162,446.95

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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.