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Finding the Fourth Proportional to 119,664.81, 165,108.44 and 67,970.40

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Solution

The fourth proportional to 119,664.81, 165,108.44 and 67,970.40 is: 93,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,664.81 : 165,108.44 = 67,970.40 : x
  2. Step 2: Convert to fraction form
    119,664.81/165,108.44 = 67,970.40/x
  3. Step 3: Cross multiply
    119,664.81x = 165,108.44 × 67,970.40
  4. Step 4: Simplify right side
    119,664.81x = 11,222,486,370.32
  5. Step 5: Solve for x
    x = 11,222,486,370.32/119,664.81
  6. Step 6: Final answer
    x = 93,782.68

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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.