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Finding the Fourth Proportional to 119,350.98, 164,708.40 and 65,638.26

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Solution

The fourth proportional to 119,350.98, 164,708.40 and 65,638.26 is: 90,583.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,350.98 : 164,708.40 = 65,638.26 : x
  2. Step 2: Convert to fraction form
    119,350.98/164,708.40 = 65,638.26/x
  3. Step 3: Cross multiply
    119,350.98x = 164,708.40 × 65,638.26
  4. Step 4: Simplify right side
    119,350.98x = 10,811,172,783.38
  5. Step 5: Solve for x
    x = 10,811,172,783.38/119,350.98
  6. Step 6: Final answer
    x = 90,583.02

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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.