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Finding the Fourth Proportional to 119,227.53, 164,532.83 and 65,511.39

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Solution

The fourth proportional to 119,227.53, 164,532.83 and 65,511.39 is: 90,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,227.53 : 164,532.83 = 65,511.39 : x
  2. Step 2: Convert to fraction form
    119,227.53/164,532.83 = 65,511.39/x
  3. Step 3: Cross multiply
    119,227.53x = 164,532.83 × 65,511.39
  4. Step 4: Simplify right side
    119,227.53x = 10,778,774,066.38
  5. Step 5: Solve for x
    x = 10,778,774,066.38/119,227.53
  6. Step 6: Final answer
    x = 90,405.08

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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.