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Finding the Fourth Proportional to 201,659.76, 302,533.56 and 61,414.74

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Solution

The fourth proportional to 201,659.76, 302,533.56 and 61,414.74 is: 92,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,659.76 : 302,533.56 = 61,414.74 : x
  2. Step 2: Convert to fraction form
    201,659.76/302,533.56 = 61,414.74/x
  3. Step 3: Cross multiply
    201,659.76x = 302,533.56 × 61,414.74
  4. Step 4: Simplify right side
    201,659.76x = 18,580,019,928.67
  5. Step 5: Solve for x
    x = 18,580,019,928.67/201,659.76
  6. Step 6: Final answer
    x = 92,135.49

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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.