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Finding the Fourth Proportional to 119,566.07, 164,999.14 and 65,856.09

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Solution

The fourth proportional to 119,566.07, 164,999.14 and 65,856.09 is: 90,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,566.07 : 164,999.14 = 65,856.09 : x
  2. Step 2: Convert to fraction form
    119,566.07/164,999.14 = 65,856.09/x
  3. Step 3: Cross multiply
    119,566.07x = 164,999.14 × 65,856.09
  4. Step 4: Simplify right side
    119,566.07x = 10,866,198,213.76
  5. Step 5: Solve for x
    x = 10,866,198,213.76/119,566.07
  6. Step 6: Final answer
    x = 90,880.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.