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Finding the Fourth Proportional to 291,204.59, 401,795.84 and 163,833.71

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Solution

The fourth proportional to 291,204.59, 401,795.84 and 163,833.71 is: 226,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,204.59 : 401,795.84 = 163,833.71 : x
  2. Step 2: Convert to fraction form
    291,204.59/401,795.84 = 163,833.71/x
  3. Step 3: Cross multiply
    291,204.59x = 401,795.84 × 163,833.71
  4. Step 4: Simplify right side
    291,204.59x = 65,827,701,530.37
  5. Step 5: Solve for x
    x = 65,827,701,530.37/291,204.59
  6. Step 6: Final answer
    x = 226,053.11

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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.