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Finding the Fourth Proportional to 174,898.96, 262,364.52 and 75,036.64

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Solution

The fourth proportional to 174,898.96, 262,364.52 and 75,036.64 is: 112,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,898.96 : 262,364.52 = 75,036.64 : x
  2. Step 2: Convert to fraction form
    174,898.96/262,364.52 = 75,036.64/x
  3. Step 3: Cross multiply
    174,898.96x = 262,364.52 × 75,036.64
  4. Step 4: Simplify right side
    174,898.96x = 19,686,952,036.01
  5. Step 5: Solve for x
    x = 19,686,952,036.01/174,898.96
  6. Step 6: Final answer
    x = 112,561.86

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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.