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Finding the Fourth Proportional to 133,667.31, 200,486.84 and 70,462.11

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Solution

The fourth proportional to 133,667.31, 200,486.84 and 70,462.11 is: 105,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,667.31 : 200,486.84 = 70,462.11 : x
  2. Step 2: Convert to fraction form
    133,667.31/200,486.84 = 70,462.11/x
  3. Step 3: Cross multiply
    133,667.31x = 200,486.84 × 70,462.11
  4. Step 4: Simplify right side
    133,667.31x = 14,126,725,421.32
  5. Step 5: Solve for x
    x = 14,126,725,421.32/133,667.31
  6. Step 6: Final answer
    x = 105,685.72

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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.