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Finding the Fourth Proportional to 174,123.12, 260,938.32 and 74,182.68

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Solution

The fourth proportional to 174,123.12, 260,938.32 and 74,182.68 is: 111,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,123.12 : 260,938.32 = 74,182.68 : x
  2. Step 2: Convert to fraction form
    174,123.12/260,938.32 = 74,182.68/x
  3. Step 3: Cross multiply
    174,123.12x = 260,938.32 × 74,182.68
  4. Step 4: Simplify right side
    174,123.12x = 19,357,103,892.30
  5. Step 5: Solve for x
    x = 19,357,103,892.30/174,123.12
  6. Step 6: Final answer
    x = 111,169.06

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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.