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Finding the Fourth Proportional to 152,351.03, 210,241.82 and 84,366.54

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Solution

The fourth proportional to 152,351.03, 210,241.82 and 84,366.54 is: 116,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,351.03 : 210,241.82 = 84,366.54 : x
  2. Step 2: Convert to fraction form
    152,351.03/210,241.82 = 84,366.54/x
  3. Step 3: Cross multiply
    152,351.03x = 210,241.82 × 84,366.54
  4. Step 4: Simplify right side
    152,351.03x = 17,737,374,494.87
  5. Step 5: Solve for x
    x = 17,737,374,494.87/152,351.03
  6. Step 6: Final answer
    x = 116,424.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.