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Finding the Fourth Proportional to 157,822.80, 236,532.60 and 64,222.80

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Solution

The fourth proportional to 157,822.80, 236,532.60 and 64,222.80 is: 96,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,822.80 : 236,532.60 = 64,222.80 : x
  2. Step 2: Convert to fraction form
    157,822.80/236,532.60 = 64,222.80/x
  3. Step 3: Cross multiply
    157,822.80x = 236,532.60 × 64,222.80
  4. Step 4: Simplify right side
    157,822.80x = 15,190,785,863.28
  5. Step 5: Solve for x
    x = 15,190,785,863.28/157,822.80
  6. Step 6: Final answer
    x = 96,252.16

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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.