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Finding the Fourth Proportional to 119,016, 164,242.08 and 66,024

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Solution

The fourth proportional to 119,016, 164,242.08 and 66,024 is: 91,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,016 : 164,242.08 = 66,024 : x
  2. Step 2: Convert to fraction form
    119,016/164,242.08 = 66,024/x
  3. Step 3: Cross multiply
    119,016x = 164,242.08 × 66,024
  4. Step 4: Simplify right side
    119,016x = 10,843,919,089.92
  5. Step 5: Solve for x
    x = 10,843,919,089.92/119,016
  6. Step 6: Final answer
    x = 91,113.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.