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Finding the Fourth Proportional to 192,812.22, 288,715.32 and 155,166.66

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Solution

The fourth proportional to 192,812.22, 288,715.32 and 155,166.66 is: 232,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,812.22 : 288,715.32 = 155,166.66 : x
  2. Step 2: Convert to fraction form
    192,812.22/288,715.32 = 155,166.66/x
  3. Step 3: Cross multiply
    192,812.22x = 288,715.32 × 155,166.66
  4. Step 4: Simplify right side
    192,812.22x = 44,798,991,895.23
  5. Step 5: Solve for x
    x = 44,798,991,895.23/192,812.22
  6. Step 6: Final answer
    x = 232,345.19

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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.