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Finding the Fourth Proportional to 277,461.05, 416,244.04 and 87,969.11

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Solution

The fourth proportional to 277,461.05, 416,244.04 and 87,969.11 is: 131,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,461.05 : 416,244.04 = 87,969.11 : x
  2. Step 2: Convert to fraction form
    277,461.05/416,244.04 = 87,969.11/x
  3. Step 3: Cross multiply
    277,461.05x = 416,244.04 × 87,969.11
  4. Step 4: Simplify right side
    277,461.05x = 36,616,615,440.46
  5. Step 5: Solve for x
    x = 36,616,615,440.46/277,461.05
  6. Step 6: Final answer
    x = 131,970.29

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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.