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Finding the Fourth Proportional to 182,041.29, 251,211.16 and 114,094.95

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Solution

The fourth proportional to 182,041.29, 251,211.16 and 114,094.95 is: 157,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,041.29 : 251,211.16 = 114,094.95 : x
  2. Step 2: Convert to fraction form
    182,041.29/251,211.16 = 114,094.95/x
  3. Step 3: Cross multiply
    182,041.29x = 251,211.16 × 114,094.95
  4. Step 4: Simplify right side
    182,041.29x = 28,661,924,739.64
  5. Step 5: Solve for x
    x = 28,661,924,739.64/182,041.29
  6. Step 6: Final answer
    x = 157,447.38

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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.