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Finding the Fourth Proportional to 191,376, 285,042.42 and 181,383.84

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Solution

The fourth proportional to 191,376, 285,042.42 and 181,383.84 is: 270,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,376 : 285,042.42 = 181,383.84 : x
  2. Step 2: Convert to fraction form
    191,376/285,042.42 = 181,383.84/x
  3. Step 3: Cross multiply
    191,376x = 285,042.42 × 181,383.84
  4. Step 4: Simplify right side
    191,376x = 51,702,088,702.49
  5. Step 5: Solve for x
    x = 51,702,088,702.49/191,376
  6. Step 6: Final answer
    x = 270,159.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.