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Finding the Fourth Proportional to 242,852.68, 364,191.52 and 102,622.24

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Solution

The fourth proportional to 242,852.68, 364,191.52 and 102,622.24 is: 153,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,852.68 : 364,191.52 = 102,622.24 : x
  2. Step 2: Convert to fraction form
    242,852.68/364,191.52 = 102,622.24/x
  3. Step 3: Cross multiply
    242,852.68x = 364,191.52 × 102,622.24
  4. Step 4: Simplify right side
    242,852.68x = 37,374,149,571.40
  5. Step 5: Solve for x
    x = 37,374,149,571.40/242,852.68
  6. Step 6: Final answer
    x = 153,896.39

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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.