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Finding the Fourth Proportional to 114,275.06, 157,708.53 and 65,892.54

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Solution

The fourth proportional to 114,275.06, 157,708.53 and 65,892.54 is: 90,936.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,275.06 : 157,708.53 = 65,892.54 : x
  2. Step 2: Convert to fraction form
    114,275.06/157,708.53 = 65,892.54/x
  3. Step 3: Cross multiply
    114,275.06x = 157,708.53 × 65,892.54
  4. Step 4: Simplify right side
    114,275.06x = 10,391,815,621.37
  5. Step 5: Solve for x
    x = 10,391,815,621.37/114,275.06
  6. Step 6: Final answer
    x = 90,936.87

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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.