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Finding the Fourth Proportional to 214,056.27, 321,087.57 and 101,748.06

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Solution

The fourth proportional to 214,056.27, 321,087.57 and 101,748.06 is: 152,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,056.27 : 321,087.57 = 101,748.06 : x
  2. Step 2: Convert to fraction form
    214,056.27/321,087.57 = 101,748.06/x
  3. Step 3: Cross multiply
    214,056.27x = 321,087.57 × 101,748.06
  4. Step 4: Simplify right side
    214,056.27x = 32,670,037,337.61
  5. Step 5: Solve for x
    x = 32,670,037,337.61/214,056.27
  6. Step 6: Final answer
    x = 152,623.59

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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.