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Finding the Fourth Proportional to 230,892, 318,635.88 and 127,525.68

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Solution

The fourth proportional to 230,892, 318,635.88 and 127,525.68 is: 175,988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,892 : 318,635.88 = 127,525.68 : x
  2. Step 2: Convert to fraction form
    230,892/318,635.88 = 127,525.68/x
  3. Step 3: Cross multiply
    230,892x = 318,635.88 × 127,525.68
  4. Step 4: Simplify right side
    230,892x = 40,634,257,269.40
  5. Step 5: Solve for x
    x = 40,634,257,269.40/230,892
  6. Step 6: Final answer
    x = 175,988.16

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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.