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Finding the Fourth Proportional to 233,292.17, 349,377.76 and 133,148.78

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Solution

The fourth proportional to 233,292.17, 349,377.76 and 133,148.78 is: 199,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,292.17 : 349,377.76 = 133,148.78 : x
  2. Step 2: Convert to fraction form
    233,292.17/349,377.76 = 133,148.78/x
  3. Step 3: Cross multiply
    233,292.17x = 349,377.76 × 133,148.78
  4. Step 4: Simplify right side
    233,292.17x = 46,519,222,503.13
  5. Step 5: Solve for x
    x = 46,519,222,503.13/233,292.17
  6. Step 6: Final answer
    x = 199,403.27

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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.