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Finding the Fourth Proportional to 242,563.30, 363,715.35 and 102,163.30

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Solution

The fourth proportional to 242,563.30, 363,715.35 and 102,163.30 is: 153,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,563.30 : 363,715.35 = 102,163.30 : x
  2. Step 2: Convert to fraction form
    242,563.30/363,715.35 = 102,163.30/x
  3. Step 3: Cross multiply
    242,563.30x = 363,715.35 × 102,163.30
  4. Step 4: Simplify right side
    242,563.30x = 37,158,360,416.66
  5. Step 5: Solve for x
    x = 37,158,360,416.66/242,563.30
  6. Step 6: Final answer
    x = 153,190.36

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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.