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Finding the Fourth Proportional to 191,274.88, 264,030.39 and 164,309.17

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Solution

The fourth proportional to 191,274.88, 264,030.39 and 164,309.17 is: 226,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,274.88 : 264,030.39 = 164,309.17 : x
  2. Step 2: Convert to fraction form
    191,274.88/264,030.39 = 164,309.17/x
  3. Step 3: Cross multiply
    191,274.88x = 264,030.39 × 164,309.17
  4. Step 4: Simplify right side
    191,274.88x = 43,382,613,575.60
  5. Step 5: Solve for x
    x = 43,382,613,575.60/191,274.88
  6. Step 6: Final answer
    x = 226,807.69

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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.