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Finding the Fourth Proportional to 217,242.81, 325,784.30 and 75,051.90

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Solution

The fourth proportional to 217,242.81, 325,784.30 and 75,051.90 is: 112,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,242.81 : 325,784.30 = 75,051.90 : x
  2. Step 2: Convert to fraction form
    217,242.81/325,784.30 = 75,051.90/x
  3. Step 3: Cross multiply
    217,242.81x = 325,784.30 × 75,051.90
  4. Step 4: Simplify right side
    217,242.81x = 24,450,730,329.91
  5. Step 5: Solve for x
    x = 24,450,730,329.91/217,242.81
  6. Step 6: Final answer
    x = 112,550.24

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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.