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Finding the Fourth Proportional to 212,792.30, 293,674.04 and 158,983.88

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Solution

The fourth proportional to 212,792.30, 293,674.04 and 158,983.88 is: 219,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,792.30 : 293,674.04 = 158,983.88 : x
  2. Step 2: Convert to fraction form
    212,792.30/293,674.04 = 158,983.88/x
  3. Step 3: Cross multiply
    212,792.30x = 293,674.04 × 158,983.88
  4. Step 4: Simplify right side
    212,792.30x = 46,689,438,334.48
  5. Step 5: Solve for x
    x = 46,689,438,334.48/212,792.30
  6. Step 6: Final answer
    x = 219,413.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.