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Finding the Fourth Proportional to 201,497.04, 302,048.52 and 75,044.64

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Solution

The fourth proportional to 201,497.04, 302,048.52 and 75,044.64 is: 112,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,497.04 : 302,048.52 = 75,044.64 : x
  2. Step 2: Convert to fraction form
    201,497.04/302,048.52 = 75,044.64/x
  3. Step 3: Cross multiply
    201,497.04x = 302,048.52 × 75,044.64
  4. Step 4: Simplify right side
    201,497.04x = 22,667,122,445.93
  5. Step 5: Solve for x
    x = 22,667,122,445.93/201,497.04
  6. Step 6: Final answer
    x = 112,493.58

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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.