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Finding the Fourth Proportional to 291,806.24, 437,761.24 and 99,670.24

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Solution

The fourth proportional to 291,806.24, 437,761.24 and 99,670.24 is: 149,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,806.24 : 437,761.24 = 99,670.24 : x
  2. Step 2: Convert to fraction form
    291,806.24/437,761.24 = 99,670.24/x
  3. Step 3: Cross multiply
    291,806.24x = 437,761.24 × 99,670.24
  4. Step 4: Simplify right side
    291,806.24x = 43,631,767,853.50
  5. Step 5: Solve for x
    x = 43,631,767,853.50/291,806.24
  6. Step 6: Final answer
    x = 149,523.08

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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.