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Finding the Fourth Proportional to 233,409.30, 349,552.62 and 133,265.94

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Solution

The fourth proportional to 233,409.30, 349,552.62 and 133,265.94 is: 199,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,409.30 : 349,552.62 = 133,265.94 : x
  2. Step 2: Convert to fraction form
    233,409.30/349,552.62 = 133,265.94/x
  3. Step 3: Cross multiply
    233,409.30x = 349,552.62 × 133,265.94
  4. Step 4: Simplify right side
    233,409.30x = 46,583,458,483.76
  5. Step 5: Solve for x
    x = 46,583,458,483.76/233,409.30
  6. Step 6: Final answer
    x = 199,578.42

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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.