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Finding the Fourth Proportional to 121,109.48, 181,401.66 and 58,649

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Solution

The fourth proportional to 121,109.48, 181,401.66 and 58,649 is: 87,846.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,109.48 : 181,401.66 = 58,649 : x
  2. Step 2: Convert to fraction form
    121,109.48/181,401.66 = 58,649/x
  3. Step 3: Cross multiply
    121,109.48x = 181,401.66 × 58,649
  4. Step 4: Simplify right side
    121,109.48x = 10,639,025,957.34
  5. Step 5: Solve for x
    x = 10,639,025,957.34/121,109.48
  6. Step 6: Final answer
    x = 87,846.35

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