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Finding the Fourth Proportional to 291,894.14, 402,804.77 and 171,115.86

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Solution

The fourth proportional to 291,894.14, 402,804.77 and 171,115.86 is: 236,134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,894.14 : 402,804.77 = 171,115.86 : x
  2. Step 2: Convert to fraction form
    291,894.14/402,804.77 = 171,115.86/x
  3. Step 3: Cross multiply
    291,894.14x = 402,804.77 × 171,115.86
  4. Step 4: Simplify right side
    291,894.14x = 68,926,283,775.07
  5. Step 5: Solve for x
    x = 68,926,283,775.07/291,894.14
  6. Step 6: Final answer
    x = 236,134.53

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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.