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Finding the Fourth Proportional to 182,391.94, 251,705.10 and 114,411.78

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Solution

The fourth proportional to 182,391.94, 251,705.10 and 114,411.78 is: 157,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,391.94 : 251,705.10 = 114,411.78 : x
  2. Step 2: Convert to fraction form
    182,391.94/251,705.10 = 114,411.78/x
  3. Step 3: Cross multiply
    182,391.94x = 251,705.10 × 114,411.78
  4. Step 4: Simplify right side
    182,391.94x = 28,798,028,526.08
  5. Step 5: Solve for x
    x = 28,798,028,526.08/182,391.94
  6. Step 6: Final answer
    x = 157,890.91

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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.