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Finding the Fourth Proportional to 114,461.82, 157,990.23 and 69,132.60

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Solution

The fourth proportional to 114,461.82, 157,990.23 and 69,132.60 is: 95,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,461.82 : 157,990.23 = 69,132.60 : x
  2. Step 2: Convert to fraction form
    114,461.82/157,990.23 = 69,132.60/x
  3. Step 3: Cross multiply
    114,461.82x = 157,990.23 × 69,132.60
  4. Step 4: Simplify right side
    114,461.82x = 10,922,275,374.50
  5. Step 5: Solve for x
    x = 10,922,275,374.50/114,461.82
  6. Step 6: Final answer
    x = 95,422.87

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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.