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Finding the Fourth Proportional to 270,071, 372,697.98 and 150,839

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Solution

The fourth proportional to 270,071, 372,697.98 and 150,839 is: 208,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,071 : 372,697.98 = 150,839 : x
  2. Step 2: Convert to fraction form
    270,071/372,697.98 = 150,839/x
  3. Step 3: Cross multiply
    270,071x = 372,697.98 × 150,839
  4. Step 4: Simplify right side
    270,071x = 56,217,390,605.22
  5. Step 5: Solve for x
    x = 56,217,390,605.22/270,071
  6. Step 6: Final answer
    x = 208,157.82

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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.