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Finding the Fourth Proportional to 126,265.84, 189,349.52 and 47,337

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Solution

The fourth proportional to 126,265.84, 189,349.52 and 47,337 is: 70,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,265.84 : 189,349.52 = 47,337 : x
  2. Step 2: Convert to fraction form
    126,265.84/189,349.52 = 47,337/x
  3. Step 3: Cross multiply
    126,265.84x = 189,349.52 × 47,337
  4. Step 4: Simplify right side
    126,265.84x = 8,963,238,228.24
  5. Step 5: Solve for x
    x = 8,963,238,228.24/126,265.84
  6. Step 6: Final answer
    x = 70,987.04

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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.