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Finding the Fourth Proportional to 191,264, 263,944.32 and 111,776

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Solution

The fourth proportional to 191,264, 263,944.32 and 111,776 is: 154,250.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,264 : 263,944.32 = 111,776 : x
  2. Step 2: Convert to fraction form
    191,264/263,944.32 = 111,776/x
  3. Step 3: Cross multiply
    191,264x = 263,944.32 × 111,776
  4. Step 4: Simplify right side
    191,264x = 29,502,640,312.32
  5. Step 5: Solve for x
    x = 29,502,640,312.32/191,264
  6. Step 6: Final answer
    x = 154,250.88

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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.