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Finding the Fourth Proportional to 216,547.92, 324,741 and 74,352.84

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Solution

The fourth proportional to 216,547.92, 324,741 and 74,352.84 is: 111,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,547.92 : 324,741 = 74,352.84 : x
  2. Step 2: Convert to fraction form
    216,547.92/324,741 = 74,352.84/x
  3. Step 3: Cross multiply
    216,547.92x = 324,741 × 74,352.84
  4. Step 4: Simplify right side
    216,547.92x = 24,145,415,614.44
  5. Step 5: Solve for x
    x = 24,145,415,614.44/216,547.92
  6. Step 6: Final answer
    x = 111,501.49

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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.