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Finding the Fourth Proportional to 201,935.60, 302,798.04 and 75,471.92

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Solution

The fourth proportional to 201,935.60, 302,798.04 and 75,471.92 is: 113,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,935.60 : 302,798.04 = 75,471.92 : x
  2. Step 2: Convert to fraction form
    201,935.60/302,798.04 = 75,471.92/x
  3. Step 3: Cross multiply
    201,935.60x = 302,798.04 × 75,471.92
  4. Step 4: Simplify right side
    201,935.60x = 22,852,749,451.04
  5. Step 5: Solve for x
    x = 22,852,749,451.04/201,935.60
  6. Step 6: Final answer
    x = 113,168.50

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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.