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Finding the Fourth Proportional to 171,967.50, 237,315.15 and 96,516

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Solution

The fourth proportional to 171,967.50, 237,315.15 and 96,516 is: 133,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,967.50 : 237,315.15 = 96,516 : x
  2. Step 2: Convert to fraction form
    171,967.50/237,315.15 = 96,516/x
  3. Step 3: Cross multiply
    171,967.50x = 237,315.15 × 96,516
  4. Step 4: Simplify right side
    171,967.50x = 22,904,709,017.40
  5. Step 5: Solve for x
    x = 22,904,709,017.40/171,967.50
  6. Step 6: Final answer
    x = 133,192.08

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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.