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Finding the Fourth Proportional to 276,166.26, 413,910.18 and 142,970.58

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Solution

The fourth proportional to 276,166.26, 413,910.18 and 142,970.58 is: 214,280.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,166.26 : 413,910.18 = 142,970.58 : x
  2. Step 2: Convert to fraction form
    276,166.26/413,910.18 = 142,970.58/x
  3. Step 3: Cross multiply
    276,166.26x = 413,910.18 × 142,970.58
  4. Step 4: Simplify right side
    276,166.26x = 59,176,978,502.50
  5. Step 5: Solve for x
    x = 59,176,978,502.50/276,166.26
  6. Step 6: Final answer
    x = 214,280.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.