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Finding the Fourth Proportional to 194,063.51, 290,996.82 and 88,792.26

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Solution

The fourth proportional to 194,063.51, 290,996.82 and 88,792.26 is: 133,143.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,063.51 : 290,996.82 = 88,792.26 : x
  2. Step 2: Convert to fraction form
    194,063.51/290,996.82 = 88,792.26/x
  3. Step 3: Cross multiply
    194,063.51x = 290,996.82 × 88,792.26
  4. Step 4: Simplify right side
    194,063.51x = 25,838,265,300.61
  5. Step 5: Solve for x
    x = 25,838,265,300.61/194,063.51
  6. Step 6: Final answer
    x = 133,143.35

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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.