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Finding the Fourth Proportional to 78,151.78, 117,232.94 and 38,698.30

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Solution

The fourth proportional to 78,151.78, 117,232.94 and 38,698.30 is: 58,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,151.78 : 117,232.94 = 38,698.30 : x
  2. Step 2: Convert to fraction form
    78,151.78/117,232.94 = 38,698.30/x
  3. Step 3: Cross multiply
    78,151.78x = 117,232.94 × 38,698.30
  4. Step 4: Simplify right side
    78,151.78x = 4,536,715,482.00
  5. Step 5: Solve for x
    x = 4,536,715,482.00/78,151.78
  6. Step 6: Final answer
    x = 58,050.06

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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.