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Finding the Fourth Proportional to 82,614.51, 113,908.20 and 69,845.16

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Solution

The fourth proportional to 82,614.51, 113,908.20 and 69,845.16 is: 96,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,614.51 : 113,908.20 = 69,845.16 : x
  2. Step 2: Convert to fraction form
    82,614.51/113,908.20 = 69,845.16/x
  3. Step 3: Cross multiply
    82,614.51x = 113,908.20 × 69,845.16
  4. Step 4: Simplify right side
    82,614.51x = 7,955,936,454.31
  5. Step 5: Solve for x
    x = 7,955,936,454.31/82,614.51
  6. Step 6: Final answer
    x = 96,301.93

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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.