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Finding the Fourth Proportional to 119,323.70, 178,985.48 and 35,084.56

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Solution

The fourth proportional to 119,323.70, 178,985.48 and 35,084.56 is: 52,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,323.70 : 178,985.48 = 35,084.56 : x
  2. Step 2: Convert to fraction form
    119,323.70/178,985.48 = 35,084.56/x
  3. Step 3: Cross multiply
    119,323.70x = 178,985.48 × 35,084.56
  4. Step 4: Simplify right side
    119,323.70x = 6,279,626,722.25
  5. Step 5: Solve for x
    x = 6,279,626,722.25/119,323.70
  6. Step 6: Final answer
    x = 52,626.82

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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.