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Finding the Fourth Proportional to 133,667.81, 200,487.59 and 70,462.61

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Solution

The fourth proportional to 133,667.81, 200,487.59 and 70,462.61 is: 105,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,667.81 : 200,487.59 = 70,462.61 : x
  2. Step 2: Convert to fraction form
    133,667.81/200,487.59 = 70,462.61/x
  3. Step 3: Cross multiply
    133,667.81x = 200,487.59 × 70,462.61
  4. Step 4: Simplify right side
    133,667.81x = 14,126,878,511.70
  5. Step 5: Solve for x
    x = 14,126,878,511.70/133,667.81
  6. Step 6: Final answer
    x = 105,686.47

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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.