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Finding the Fourth Proportional to 119,218.30, 164,520.93 and 65,504.50

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Solution

The fourth proportional to 119,218.30, 164,520.93 and 65,504.50 is: 90,396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,218.30 : 164,520.93 = 65,504.50 : x
  2. Step 2: Convert to fraction form
    119,218.30/164,520.93 = 65,504.50/x
  3. Step 3: Cross multiply
    119,218.30x = 164,520.93 × 65,504.50
  4. Step 4: Simplify right side
    119,218.30x = 10,776,861,259.19
  5. Step 5: Solve for x
    x = 10,776,861,259.19/119,218.30
  6. Step 6: Final answer
    x = 90,396.03

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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.