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Finding the Fourth Proportional to 233,191.24, 349,747.74 and 64,728.70

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Solution

The fourth proportional to 233,191.24, 349,747.74 and 64,728.70 is: 97,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,191.24 : 349,747.74 = 64,728.70 : x
  2. Step 2: Convert to fraction form
    233,191.24/349,747.74 = 64,728.70/x
  3. Step 3: Cross multiply
    233,191.24x = 349,747.74 × 64,728.70
  4. Step 4: Simplify right side
    233,191.24x = 22,638,716,538.14
  5. Step 5: Solve for x
    x = 22,638,716,538.14/233,191.24
  6. Step 6: Final answer
    x = 97,082.19

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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.