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Finding the Fourth Proportional to 280,245.80, 386,735.94 and 152,923.52

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Solution

The fourth proportional to 280,245.80, 386,735.94 and 152,923.52 is: 211,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,245.80 : 386,735.94 = 152,923.52 : x
  2. Step 2: Convert to fraction form
    280,245.80/386,735.94 = 152,923.52/x
  3. Step 3: Cross multiply
    280,245.80x = 386,735.94 × 152,923.52
  4. Step 4: Simplify right side
    280,245.80x = 59,141,021,255.31
  5. Step 5: Solve for x
    x = 59,141,021,255.31/280,245.80
  6. Step 6: Final answer
    x = 211,032.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.