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Finding the Fourth Proportional to 252,291.80, 378,499.98 and 74,798.81

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Solution

The fourth proportional to 252,291.80, 378,499.98 and 74,798.81 is: 112,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,291.80 : 378,499.98 = 74,798.81 : x
  2. Step 2: Convert to fraction form
    252,291.80/378,499.98 = 74,798.81/x
  3. Step 3: Cross multiply
    252,291.80x = 378,499.98 × 74,798.81
  4. Step 4: Simplify right side
    252,291.80x = 28,311,348,089.02
  5. Step 5: Solve for x
    x = 28,311,348,089.02/252,291.80
  6. Step 6: Final answer
    x = 112,216.68

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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.