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Finding the Fourth Proportional to 233,505.81, 350,307.96 and 75,722.01

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Solution

The fourth proportional to 233,505.81, 350,307.96 and 75,722.01 is: 113,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,505.81 : 350,307.96 = 75,722.01 : x
  2. Step 2: Convert to fraction form
    233,505.81/350,307.96 = 75,722.01/x
  3. Step 3: Cross multiply
    233,505.81x = 350,307.96 × 75,722.01
  4. Step 4: Simplify right side
    233,505.81x = 26,526,022,850.20
  5. Step 5: Solve for x
    x = 26,526,022,850.20/233,505.81
  6. Step 6: Final answer
    x = 113,598.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.