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Finding the Fourth Proportional to 114,306.28, 157,729.13 and 65,907.70

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Solution

The fourth proportional to 114,306.28, 157,729.13 and 65,907.70 is: 90,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,306.28 : 157,729.13 = 65,907.70 : x
  2. Step 2: Convert to fraction form
    114,306.28/157,729.13 = 65,907.70/x
  3. Step 3: Cross multiply
    114,306.28x = 157,729.13 × 65,907.70
  4. Step 4: Simplify right side
    114,306.28x = 10,395,563,851.76
  5. Step 5: Solve for x
    x = 10,395,563,851.76/114,306.28
  6. Step 6: Final answer
    x = 90,944.82

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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.