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Finding the Fourth Proportional to 119,408.41, 164,783.35 and 65,693.29

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Solution

The fourth proportional to 119,408.41, 164,783.35 and 65,693.29 is: 90,656.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,408.41 : 164,783.35 = 65,693.29 : x
  2. Step 2: Convert to fraction form
    119,408.41/164,783.35 = 65,693.29/x
  3. Step 3: Cross multiply
    119,408.41x = 164,783.35 × 65,693.29
  4. Step 4: Simplify right side
    119,408.41x = 10,825,160,398.72
  5. Step 5: Solve for x
    x = 10,825,160,398.72/119,408.41
  6. Step 6: Final answer
    x = 90,656.60

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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.