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Finding the Fourth Proportional to 133,058.70, 199,588.05 and 69,854.40

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Solution

The fourth proportional to 133,058.70, 199,588.05 and 69,854.40 is: 104,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,058.70 : 199,588.05 = 69,854.40 : x
  2. Step 2: Convert to fraction form
    133,058.70/199,588.05 = 69,854.40/x
  3. Step 3: Cross multiply
    133,058.70x = 199,588.05 × 69,854.40
  4. Step 4: Simplify right side
    133,058.70x = 13,942,103,479.92
  5. Step 5: Solve for x
    x = 13,942,103,479.92/133,058.70
  6. Step 6: Final answer
    x = 104,781.60

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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.