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Finding the Fourth Proportional to 133,776.40, 200,599.80 and 74,549.20

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Solution

The fourth proportional to 133,776.40, 200,599.80 and 74,549.20 is: 111,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,776.40 : 200,599.80 = 74,549.20 : x
  2. Step 2: Convert to fraction form
    133,776.40/200,599.80 = 74,549.20/x
  3. Step 3: Cross multiply
    133,776.40x = 200,599.80 × 74,549.20
  4. Step 4: Simplify right side
    133,776.40x = 14,954,554,610.16
  5. Step 5: Solve for x
    x = 14,954,554,610.16/133,776.40
  6. Step 6: Final answer
    x = 111,787.69

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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.