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Finding the Fourth Proportional to 146,416.32, 218,364.48 and 132,243.84

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Solution

The fourth proportional to 146,416.32, 218,364.48 and 132,243.84 is: 197,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,416.32 : 218,364.48 = 132,243.84 : x
  2. Step 2: Convert to fraction form
    146,416.32/218,364.48 = 132,243.84/x
  3. Step 3: Cross multiply
    146,416.32x = 218,364.48 × 132,243.84
  4. Step 4: Simplify right side
    146,416.32x = 28,877,357,354.80
  5. Step 5: Solve for x
    x = 28,877,357,354.80/146,416.32
  6. Step 6: Final answer
    x = 197,227.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.