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Finding the Fourth Proportional to 102,223.56, 153,286.83 and 35,655.60

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Solution

The fourth proportional to 102,223.56, 153,286.83 and 35,655.60 is: 53,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,223.56 : 153,286.83 = 35,655.60 : x
  2. Step 2: Convert to fraction form
    102,223.56/153,286.83 = 35,655.60/x
  3. Step 3: Cross multiply
    102,223.56x = 153,286.83 × 35,655.60
  4. Step 4: Simplify right side
    102,223.56x = 5,465,533,895.75
  5. Step 5: Solve for x
    x = 5,465,533,895.75/102,223.56
  6. Step 6: Final answer
    x = 53,466.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.