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Finding the Fourth Proportional to 171,905.08, 237,233.12 and 96,459.16

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Solution

The fourth proportional to 171,905.08, 237,233.12 and 96,459.16 is: 133,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,905.08 : 237,233.12 = 96,459.16 : x
  2. Step 2: Convert to fraction form
    171,905.08/237,233.12 = 96,459.16/x
  3. Step 3: Cross multiply
    171,905.08x = 237,233.12 × 96,459.16
  4. Step 4: Simplify right side
    171,905.08x = 22,883,307,479.38
  5. Step 5: Solve for x
    x = 22,883,307,479.38/171,905.08
  6. Step 6: Final answer
    x = 133,115.95

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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.