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Finding the Fourth Proportional to 133,116.32, 199,616.16 and 49,952

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Solution

The fourth proportional to 133,116.32, 199,616.16 and 49,952 is: 74,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,116.32 : 199,616.16 = 49,952 : x
  2. Step 2: Convert to fraction form
    133,116.32/199,616.16 = 49,952/x
  3. Step 3: Cross multiply
    133,116.32x = 199,616.16 × 49,952
  4. Step 4: Simplify right side
    133,116.32x = 9,971,226,424.32
  5. Step 5: Solve for x
    x = 9,971,226,424.32/133,116.32
  6. Step 6: Final answer
    x = 74,906.12

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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.