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Finding the Fourth Proportional to 274,222.47, 411,342.81 and 94,306.12

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Solution

The fourth proportional to 274,222.47, 411,342.81 and 94,306.12 is: 141,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,222.47 : 411,342.81 = 94,306.12 : x
  2. Step 2: Convert to fraction form
    274,222.47/411,342.81 = 94,306.12/x
  3. Step 3: Cross multiply
    274,222.47x = 411,342.81 × 94,306.12
  4. Step 4: Simplify right side
    274,222.47x = 38,792,144,401.00
  5. Step 5: Solve for x
    x = 38,792,144,401.00/274,222.47
  6. Step 6: Final answer
    x = 141,462.31

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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.