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Finding the Fourth Proportional to 233,457.38, 349,624.91 and 133,314.38

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Solution

The fourth proportional to 233,457.38, 349,624.91 and 133,314.38 is: 199,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,457.38 : 349,624.91 = 133,314.38 : x
  2. Step 2: Convert to fraction form
    233,457.38/349,624.91 = 133,314.38/x
  3. Step 3: Cross multiply
    233,457.38x = 349,624.91 × 133,314.38
  4. Step 4: Simplify right side
    233,457.38x = 46,610,026,694.37
  5. Step 5: Solve for x
    x = 46,610,026,694.37/233,457.38
  6. Step 6: Final answer
    x = 199,651.12

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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.