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Finding the Fourth Proportional to 233,011.26, 349,866.81 and 133,284.06

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Solution

The fourth proportional to 233,011.26, 349,866.81 and 133,284.06 is: 200,126.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,011.26 : 349,866.81 = 133,284.06 : x
  2. Step 2: Convert to fraction form
    233,011.26/349,866.81 = 133,284.06/x
  3. Step 3: Cross multiply
    233,011.26x = 349,866.81 × 133,284.06
  4. Step 4: Simplify right side
    233,011.26x = 46,631,668,896.05
  5. Step 5: Solve for x
    x = 46,631,668,896.05/233,011.26
  6. Step 6: Final answer
    x = 200,126.25

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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.