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Finding the Fourth Proportional to 171,802.64, 237,099.48 and 96,356

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Solution

The fourth proportional to 171,802.64, 237,099.48 and 96,356 is: 132,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,802.64 : 237,099.48 = 96,356 : x
  2. Step 2: Convert to fraction form
    171,802.64/237,099.48 = 96,356/x
  3. Step 3: Cross multiply
    171,802.64x = 237,099.48 × 96,356
  4. Step 4: Simplify right side
    171,802.64x = 22,845,957,494.88
  5. Step 5: Solve for x
    x = 22,845,957,494.88/171,802.64
  6. Step 6: Final answer
    x = 132,977.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.