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Finding the Fourth Proportional to 121,447.14, 180,949.62 and 114,656.50

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Solution

The fourth proportional to 121,447.14, 180,949.62 and 114,656.50 is: 170,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,447.14 : 180,949.62 = 114,656.50 : x
  2. Step 2: Convert to fraction form
    121,447.14/180,949.62 = 114,656.50/x
  3. Step 3: Cross multiply
    121,447.14x = 180,949.62 × 114,656.50
  4. Step 4: Simplify right side
    121,447.14x = 20,747,050,105.53
  5. Step 5: Solve for x
    x = 20,747,050,105.53/121,447.14
  6. Step 6: Final answer
    x = 170,831.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.