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Finding the Fourth Proportional to 114,254.50, 157,689 and 65,196.22

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Solution

The fourth proportional to 114,254.50, 157,689 and 65,196.22 is: 89,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,254.50 : 157,689 = 65,196.22 : x
  2. Step 2: Convert to fraction form
    114,254.50/157,689 = 65,196.22/x
  3. Step 3: Cross multiply
    114,254.50x = 157,689 × 65,196.22
  4. Step 4: Simplify right side
    114,254.50x = 10,280,726,735.58
  5. Step 5: Solve for x
    x = 10,280,726,735.58/114,254.50
  6. Step 6: Final answer
    x = 89,980.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.