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Finding the Fourth Proportional to 201,346.56, 302,018.76 and 61,105.32

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Solution

The fourth proportional to 201,346.56, 302,018.76 and 61,105.32 is: 91,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,346.56 : 302,018.76 = 61,105.32 : x
  2. Step 2: Convert to fraction form
    201,346.56/302,018.76 = 61,105.32/x
  3. Step 3: Cross multiply
    201,346.56x = 302,018.76 × 61,105.32
  4. Step 4: Simplify right side
    201,346.56x = 18,454,952,975.80
  5. Step 5: Solve for x
    x = 18,454,952,975.80/201,346.56
  6. Step 6: Final answer
    x = 91,657.65

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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.