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Finding the Fourth Proportional to 152,830.31, 210,906.56 and 95,502.92

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Solution

The fourth proportional to 152,830.31, 210,906.56 and 95,502.92 is: 131,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,830.31 : 210,906.56 = 95,502.92 : x
  2. Step 2: Convert to fraction form
    152,830.31/210,906.56 = 95,502.92/x
  3. Step 3: Cross multiply
    152,830.31x = 210,906.56 × 95,502.92
  4. Step 4: Simplify right side
    152,830.31x = 20,142,191,511.38
  5. Step 5: Solve for x
    x = 20,142,191,511.38/152,830.31
  6. Step 6: Final answer
    x = 131,794.49

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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.