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Finding the Fourth Proportional to 201,499.04, 302,051.52 and 75,046.64

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Solution

The fourth proportional to 201,499.04, 302,051.52 and 75,046.64 is: 112,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,499.04 : 302,051.52 = 75,046.64 : x
  2. Step 2: Convert to fraction form
    201,499.04/302,051.52 = 75,046.64/x
  3. Step 3: Cross multiply
    201,499.04x = 302,051.52 × 75,046.64
  4. Step 4: Simplify right side
    201,499.04x = 22,667,951,682.89
  5. Step 5: Solve for x
    x = 22,667,951,682.89/201,499.04
  6. Step 6: Final answer
    x = 112,496.57

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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.