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Finding the Fourth Proportional to 105,224, 157,913.92 and 49,820.16

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Solution

The fourth proportional to 105,224, 157,913.92 and 49,820.16 is: 74,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,224 : 157,913.92 = 49,820.16 : x
  2. Step 2: Convert to fraction form
    105,224/157,913.92 = 49,820.16/x
  3. Step 3: Cross multiply
    105,224x = 157,913.92 × 49,820.16
  4. Step 4: Simplify right side
    105,224x = 7,867,296,760.63
  5. Step 5: Solve for x
    x = 7,867,296,760.63/105,224
  6. Step 6: Final answer
    x = 74,767.13

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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.