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Finding the Fourth Proportional to 117,064.40, 175,578.78 and 38,178.50

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Solution

The fourth proportional to 117,064.40, 175,578.78 and 38,178.50 is: 57,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,064.40 : 175,578.78 = 38,178.50 : x
  2. Step 2: Convert to fraction form
    117,064.40/175,578.78 = 38,178.50/x
  3. Step 3: Cross multiply
    117,064.40x = 175,578.78 × 38,178.50
  4. Step 4: Simplify right side
    117,064.40x = 6,703,334,452.23
  5. Step 5: Solve for x
    x = 6,703,334,452.23/117,064.40
  6. Step 6: Final answer
    x = 57,261.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.