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Finding the Fourth Proportional to 125,905.80, 189,077.40 and 66,856.80

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Solution

The fourth proportional to 125,905.80, 189,077.40 and 66,856.80 is: 100,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,905.80 : 189,077.40 = 66,856.80 : x
  2. Step 2: Convert to fraction form
    125,905.80/189,077.40 = 66,856.80/x
  3. Step 3: Cross multiply
    125,905.80x = 189,077.40 × 66,856.80
  4. Step 4: Simplify right side
    125,905.80x = 12,641,109,916.32
  5. Step 5: Solve for x
    x = 12,641,109,916.32/125,905.80
  6. Step 6: Final answer
    x = 100,401.33

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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.