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Finding the Fourth Proportional to 185,321.14, 278,289.14 and 115,643.32

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Solution

The fourth proportional to 185,321.14, 278,289.14 and 115,643.32 is: 173,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,321.14 : 278,289.14 = 115,643.32 : x
  2. Step 2: Convert to fraction form
    185,321.14/278,289.14 = 115,643.32/x
  3. Step 3: Cross multiply
    185,321.14x = 278,289.14 × 115,643.32
  4. Step 4: Simplify right side
    185,321.14x = 32,182,280,069.54
  5. Step 5: Solve for x
    x = 32,182,280,069.54/185,321.14
  6. Step 6: Final answer
    x = 173,656.82

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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.