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Finding the Fourth Proportional to 114,192, 171,304.34 and 35,312.31

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Solution

The fourth proportional to 114,192, 171,304.34 and 35,312.31 is: 52,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,192 : 171,304.34 = 35,312.31 : x
  2. Step 2: Convert to fraction form
    114,192/171,304.34 = 35,312.31/x
  3. Step 3: Cross multiply
    114,192x = 171,304.34 × 35,312.31
  4. Step 4: Simplify right side
    114,192x = 6,049,151,781.86
  5. Step 5: Solve for x
    x = 6,049,151,781.86/114,192
  6. Step 6: Final answer
    x = 52,973.52

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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.