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Finding the Fourth Proportional to 191,094.52, 263,719.38 and 106,213

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Solution

The fourth proportional to 191,094.52, 263,719.38 and 106,213 is: 146,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,094.52 : 263,719.38 = 106,213 : x
  2. Step 2: Convert to fraction form
    191,094.52/263,719.38 = 106,213/x
  3. Step 3: Cross multiply
    191,094.52x = 263,719.38 × 106,213
  4. Step 4: Simplify right side
    191,094.52x = 28,010,426,507.94
  5. Step 5: Solve for x
    x = 28,010,426,507.94/191,094.52
  6. Step 6: Final answer
    x = 146,578.91

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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.