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Finding the Fourth Proportional to 242,796.30, 364,064.85 and 102,396.30

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Solution

The fourth proportional to 242,796.30, 364,064.85 and 102,396.30 is: 153,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,796.30 : 364,064.85 = 102,396.30 : x
  2. Step 2: Convert to fraction form
    242,796.30/364,064.85 = 102,396.30/x
  3. Step 3: Cross multiply
    242,796.30x = 364,064.85 × 102,396.30
  4. Step 4: Simplify right side
    242,796.30x = 37,278,893,600.06
  5. Step 5: Solve for x
    x = 37,278,893,600.06/242,796.30
  6. Step 6: Final answer
    x = 153,539.79

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1.5x scale

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.