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Finding the Fourth Proportional to 133,690, 200,457.24 and 58,808.08

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Solution

The fourth proportional to 133,690, 200,457.24 and 58,808.08 is: 88,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,690 : 200,457.24 = 58,808.08 : x
  2. Step 2: Convert to fraction form
    133,690/200,457.24 = 58,808.08/x
  3. Step 3: Cross multiply
    133,690x = 200,457.24 × 58,808.08
  4. Step 4: Simplify right side
    133,690x = 11,788,505,406.50
  5. Step 5: Solve for x
    x = 11,788,505,406.50/133,690
  6. Step 6: Final answer
    x = 88,177.91

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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.