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Finding the Fourth Proportional to 192,416, 288,628.32 and 66,056

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Solution

The fourth proportional to 192,416, 288,628.32 and 66,056 is: 99,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,416 : 288,628.32 = 66,056 : x
  2. Step 2: Convert to fraction form
    192,416/288,628.32 = 66,056/x
  3. Step 3: Cross multiply
    192,416x = 288,628.32 × 66,056
  4. Step 4: Simplify right side
    192,416x = 19,065,632,305.92
  5. Step 5: Solve for x
    x = 19,065,632,305.92/192,416
  6. Step 6: Final answer
    x = 99,085.48

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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.