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Finding the Fourth Proportional to 233,079.42, 321,674.49 and 136,312.88

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Solution

The fourth proportional to 233,079.42, 321,674.49 and 136,312.88 is: 188,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,079.42 : 321,674.49 = 136,312.88 : x
  2. Step 2: Convert to fraction form
    233,079.42/321,674.49 = 136,312.88/x
  3. Step 3: Cross multiply
    233,079.42x = 321,674.49 × 136,312.88
  4. Step 4: Simplify right side
    233,079.42x = 43,848,374,546.06
  5. Step 5: Solve for x
    x = 43,848,374,546.06/233,079.42
  6. Step 6: Final answer
    x = 188,126.32

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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.