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Finding the Fourth Proportional to 133,581.84, 200,372.76 and 59,658

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Solution

The fourth proportional to 133,581.84, 200,372.76 and 59,658 is: 89,487

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,581.84 : 200,372.76 = 59,658 : x
  2. Step 2: Convert to fraction form
    133,581.84/200,372.76 = 59,658/x
  3. Step 3: Cross multiply
    133,581.84x = 200,372.76 × 59,658
  4. Step 4: Simplify right side
    133,581.84x = 11,953,838,116.08
  5. Step 5: Solve for x
    x = 11,953,838,116.08/133,581.84
  6. Step 6: Final answer
    x = 89,487

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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.