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Finding the Fourth Proportional to 107,152.48, 160,637.96 and 65,512

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Solution

The fourth proportional to 107,152.48, 160,637.96 and 65,512 is: 98,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,152.48 : 160,637.96 = 65,512 : x
  2. Step 2: Convert to fraction form
    107,152.48/160,637.96 = 65,512/x
  3. Step 3: Cross multiply
    107,152.48x = 160,637.96 × 65,512
  4. Step 4: Simplify right side
    107,152.48x = 10,523,714,035.52
  5. Step 5: Solve for x
    x = 10,523,714,035.52/107,152.48
  6. Step 6: Final answer
    x = 98,212.51

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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.