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Finding the Fourth Proportional to 281,792.36, 422,740.38 and 92,263.34

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Solution

The fourth proportional to 281,792.36, 422,740.38 and 92,263.34 is: 138,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,792.36 : 422,740.38 = 92,263.34 : x
  2. Step 2: Convert to fraction form
    281,792.36/422,740.38 = 92,263.34/x
  3. Step 3: Cross multiply
    281,792.36x = 422,740.38 × 92,263.34
  4. Step 4: Simplify right side
    281,792.36x = 39,003,439,411.67
  5. Step 5: Solve for x
    x = 39,003,439,411.67/281,792.36
  6. Step 6: Final answer
    x = 138,411.98

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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.