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Finding the Fourth Proportional to 233,416.44, 322,096.50 and 137,905.02

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Solution

The fourth proportional to 233,416.44, 322,096.50 and 137,905.02 is: 190,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,416.44 : 322,096.50 = 137,905.02 : x
  2. Step 2: Convert to fraction form
    233,416.44/322,096.50 = 137,905.02/x
  3. Step 3: Cross multiply
    233,416.44x = 322,096.50 × 137,905.02
  4. Step 4: Simplify right side
    233,416.44x = 44,418,724,274.43
  5. Step 5: Solve for x
    x = 44,418,724,274.43/233,416.44
  6. Step 6: Final answer
    x = 190,298.18

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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.