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Finding the Fourth Proportional to 113,951.49, 157,214.57 and 66,165.54

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Solution

The fourth proportional to 113,951.49, 157,214.57 and 66,165.54 is: 91,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,951.49 : 157,214.57 = 66,165.54 : x
  2. Step 2: Convert to fraction form
    113,951.49/157,214.57 = 66,165.54/x
  3. Step 3: Cross multiply
    113,951.49x = 157,214.57 × 66,165.54
  4. Step 4: Simplify right side
    113,951.49x = 10,402,186,589.09
  5. Step 5: Solve for x
    x = 10,402,186,589.09/113,951.49
  6. Step 6: Final answer
    x = 91,286.10

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1.5x scale

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.