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Finding the Fourth Proportional to 191,063.16, 263,665.26 and 106,178.40

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Solution

The fourth proportional to 191,063.16, 263,665.26 and 106,178.40 is: 146,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,063.16 : 263,665.26 = 106,178.40 : x
  2. Step 2: Convert to fraction form
    191,063.16/263,665.26 = 106,178.40/x
  3. Step 3: Cross multiply
    191,063.16x = 263,665.26 × 106,178.40
  4. Step 4: Simplify right side
    191,063.16x = 27,995,555,442.38
  5. Step 5: Solve for x
    x = 27,995,555,442.38/191,063.16
  6. Step 6: Final answer
    x = 146,525.14

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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.