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Finding the Fourth Proportional to 207,051.76, 310,650.54 and 101,944.54

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Solution

The fourth proportional to 207,051.76, 310,650.54 and 101,944.54 is: 152,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,051.76 : 310,650.54 = 101,944.54 : x
  2. Step 2: Convert to fraction form
    207,051.76/310,650.54 = 101,944.54/x
  3. Step 3: Cross multiply
    207,051.76x = 310,650.54 × 101,944.54
  4. Step 4: Simplify right side
    207,051.76x = 31,669,126,401.05
  5. Step 5: Solve for x
    x = 31,669,126,401.05/207,051.76
  6. Step 6: Final answer
    x = 152,952.70

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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.