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Finding the Fourth Proportional to 114,761.40, 158,326.38 and 84,618.06

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Solution

The fourth proportional to 114,761.40, 158,326.38 and 84,618.06 is: 116,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,761.40 : 158,326.38 = 84,618.06 : x
  2. Step 2: Convert to fraction form
    114,761.40/158,326.38 = 84,618.06/x
  3. Step 3: Cross multiply
    114,761.40x = 158,326.38 × 84,618.06
  4. Step 4: Simplify right side
    114,761.40x = 13,397,271,122.42
  5. Step 5: Solve for x
    x = 13,397,271,122.42/114,761.40
  6. Step 6: Final answer
    x = 116,740.22

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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.