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Finding the Fourth Proportional to 117,063.90, 175,578.03 and 38,178

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Solution

The fourth proportional to 117,063.90, 175,578.03 and 38,178 is: 57,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,063.90 : 175,578.03 = 38,178 : x
  2. Step 2: Convert to fraction form
    117,063.90/175,578.03 = 38,178/x
  3. Step 3: Cross multiply
    117,063.90x = 175,578.03 × 38,178
  4. Step 4: Simplify right side
    117,063.90x = 6,703,218,029.34
  5. Step 5: Solve for x
    x = 6,703,218,029.34/117,063.90
  6. Step 6: Final answer
    x = 57,261.19

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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.