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Finding the Fourth Proportional to 133,661.64, 200,492.10 and 59,737.80

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Solution

The fourth proportional to 133,661.64, 200,492.10 and 59,737.80 is: 89,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,661.64 : 200,492.10 = 59,737.80 : x
  2. Step 2: Convert to fraction form
    133,661.64/200,492.10 = 59,737.80/x
  3. Step 3: Cross multiply
    133,661.64x = 200,492.10 × 59,737.80
  4. Step 4: Simplify right side
    133,661.64x = 11,976,956,971.38
  5. Step 5: Solve for x
    x = 11,976,956,971.38/133,661.64
  6. Step 6: Final answer
    x = 89,606.54

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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.