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Finding the Fourth Proportional to 119,167.90, 164,453.06 and 65,454.17

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Solution

The fourth proportional to 119,167.90, 164,453.06 and 65,454.17 is: 90,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,167.90 : 164,453.06 = 65,454.17 : x
  2. Step 2: Convert to fraction form
    119,167.90/164,453.06 = 65,454.17/x
  3. Step 3: Cross multiply
    119,167.90x = 164,453.06 × 65,454.17
  4. Step 4: Simplify right side
    119,167.90x = 10,764,137,887.63
  5. Step 5: Solve for x
    x = 10,764,137,887.63/119,167.90
  6. Step 6: Final answer
    x = 90,327.50

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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.