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Finding the Fourth Proportional to 208,485.32, 312,727.44 and 146,432.84

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Solution

The fourth proportional to 208,485.32, 312,727.44 and 146,432.84 is: 219,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,485.32 : 312,727.44 = 146,432.84 : x
  2. Step 2: Convert to fraction form
    208,485.32/312,727.44 = 146,432.84/x
  3. Step 3: Cross multiply
    208,485.32x = 312,727.44 × 146,432.84
  4. Step 4: Simplify right side
    208,485.32x = 45,793,567,185.13
  5. Step 5: Solve for x
    x = 45,793,567,185.13/208,485.32
  6. Step 6: Final answer
    x = 219,648.88

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Why These Related Problems?

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