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Finding the Fourth Proportional to 117,459.31, 176,188.98 and 34,353.31

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Solution

The fourth proportional to 117,459.31, 176,188.98 and 34,353.31 is: 51,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,459.31 : 176,188.98 = 34,353.31 : x
  2. Step 2: Convert to fraction form
    117,459.31/176,188.98 = 34,353.31/x
  3. Step 3: Cross multiply
    117,459.31x = 176,188.98 × 34,353.31
  4. Step 4: Simplify right side
    117,459.31x = 6,052,674,648.52
  5. Step 5: Solve for x
    x = 6,052,674,648.52/117,459.31
  6. Step 6: Final answer
    x = 51,529.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.