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Finding the Fourth Proportional to 170,415.92, 235,174.43 and 102,471.80

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Solution

The fourth proportional to 170,415.92, 235,174.43 and 102,471.80 is: 141,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,415.92 : 235,174.43 = 102,471.80 : x
  2. Step 2: Convert to fraction form
    170,415.92/235,174.43 = 102,471.80/x
  3. Step 3: Cross multiply
    170,415.92x = 235,174.43 × 102,471.80
  4. Step 4: Simplify right side
    170,415.92x = 24,098,747,156.07
  5. Step 5: Solve for x
    x = 24,098,747,156.07/170,415.92
  6. Step 6: Final answer
    x = 141,411.36

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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.