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Finding the Fourth Proportional to 203,904.16, 305,687.85 and 89,970.86

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Solution

The fourth proportional to 203,904.16, 305,687.85 and 89,970.86 is: 134,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,904.16 : 305,687.85 = 89,970.86 : x
  2. Step 2: Convert to fraction form
    203,904.16/305,687.85 = 89,970.86/x
  3. Step 3: Cross multiply
    203,904.16x = 305,687.85 × 89,970.86
  4. Step 4: Simplify right side
    203,904.16x = 27,502,998,756.05
  5. Step 5: Solve for x
    x = 27,502,998,756.05/203,904.16
  6. Step 6: Final answer
    x = 134,881.99

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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.