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Finding the Fourth Proportional to 251,732.16, 377,537.76 and 74,191.20

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Solution

The fourth proportional to 251,732.16, 377,537.76 and 74,191.20 is: 111,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,732.16 : 377,537.76 = 74,191.20 : x
  2. Step 2: Convert to fraction form
    251,732.16/377,537.76 = 74,191.20/x
  3. Step 3: Cross multiply
    251,732.16x = 377,537.76 × 74,191.20
  4. Step 4: Simplify right side
    251,732.16x = 28,009,979,459.71
  5. Step 5: Solve for x
    x = 28,009,979,459.71/251,732.16
  6. Step 6: Final answer
    x = 111,268.98

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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.