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Finding the Fourth Proportional to 119,248.26, 164,559.30 and 65,533.30

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Solution

The fourth proportional to 119,248.26, 164,559.30 and 65,533.30 is: 90,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,248.26 : 164,559.30 = 65,533.30 : x
  2. Step 2: Convert to fraction form
    119,248.26/164,559.30 = 65,533.30/x
  3. Step 3: Cross multiply
    119,248.26x = 164,559.30 × 65,533.30
  4. Step 4: Simplify right side
    119,248.26x = 10,784,113,974.69
  5. Step 5: Solve for x
    x = 10,784,113,974.69/119,248.26
  6. Step 6: Final answer
    x = 90,434.14

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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.