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Finding the Fourth Proportional to 242,611.43, 334,805.11 and 140,697.32

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Solution

The fourth proportional to 242,611.43, 334,805.11 and 140,697.32 is: 194,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,611.43 : 334,805.11 = 140,697.32 : x
  2. Step 2: Convert to fraction form
    242,611.43/334,805.11 = 140,697.32/x
  3. Step 3: Cross multiply
    242,611.43x = 334,805.11 × 140,697.32
  4. Step 4: Simplify right side
    242,611.43x = 47,106,181,699.31
  5. Step 5: Solve for x
    x = 47,106,181,699.31/242,611.43
  6. Step 6: Final answer
    x = 194,163.08

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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.