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Finding the Fourth Proportional to 242,699.30, 364,212.96 and 84,929.12

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Solution

The fourth proportional to 242,699.30, 364,212.96 and 84,929.12 is: 127,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,699.30 : 364,212.96 = 84,929.12 : x
  2. Step 2: Convert to fraction form
    242,699.30/364,212.96 = 84,929.12/x
  3. Step 3: Cross multiply
    242,699.30x = 364,212.96 × 84,929.12
  4. Step 4: Simplify right side
    242,699.30x = 30,932,286,185.40
  5. Step 5: Solve for x
    x = 30,932,286,185.40/242,699.30
  6. Step 6: Final answer
    x = 127,451.07

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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.