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Finding the Fourth Proportional to 143,060, 214,601.84 and 44,564

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Solution

The fourth proportional to 143,060, 214,601.84 and 44,564 is: 66,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,060 : 214,601.84 = 44,564 : x
  2. Step 2: Convert to fraction form
    143,060/214,601.84 = 44,564/x
  3. Step 3: Cross multiply
    143,060x = 214,601.84 × 44,564
  4. Step 4: Simplify right side
    143,060x = 9,563,516,397.76
  5. Step 5: Solve for x
    x = 9,563,516,397.76/143,060
  6. Step 6: Final answer
    x = 66,849.69

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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.