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Finding the Fourth Proportional to 185,325.30, 278,004.15 and 77,230.80

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Solution

The fourth proportional to 185,325.30, 278,004.15 and 77,230.80 is: 115,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,325.30 : 278,004.15 = 77,230.80 : x
  2. Step 2: Convert to fraction form
    185,325.30/278,004.15 = 77,230.80/x
  3. Step 3: Cross multiply
    185,325.30x = 278,004.15 × 77,230.80
  4. Step 4: Simplify right side
    185,325.30x = 21,470,482,907.82
  5. Step 5: Solve for x
    x = 21,470,482,907.82/185,325.30
  6. Step 6: Final answer
    x = 115,852.95

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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.