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Finding the Fourth Proportional to 114,142.16, 171,100.92 and 66,697.04

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Solution

The fourth proportional to 114,142.16, 171,100.92 and 66,697.04 is: 99,979.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,142.16 : 171,100.92 = 66,697.04 : x
  2. Step 2: Convert to fraction form
    114,142.16/171,100.92 = 66,697.04/x
  3. Step 3: Cross multiply
    114,142.16x = 171,100.92 × 66,697.04
  4. Step 4: Simplify right side
    114,142.16x = 11,411,924,905.28
  5. Step 5: Solve for x
    x = 11,411,924,905.28/114,142.16
  6. Step 6: Final answer
    x = 99,979.93

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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.