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Finding the Fourth Proportional to 277,384.65, 416,088.84 and 108,941.49

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Solution

The fourth proportional to 277,384.65, 416,088.84 and 108,941.49 is: 163,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,384.65 : 416,088.84 = 108,941.49 : x
  2. Step 2: Convert to fraction form
    277,384.65/416,088.84 = 108,941.49/x
  3. Step 3: Cross multiply
    277,384.65x = 416,088.84 × 108,941.49
  4. Step 4: Simplify right side
    277,384.65x = 45,329,338,201.97
  5. Step 5: Solve for x
    x = 45,329,338,201.97/277,384.65
  6. Step 6: Final answer
    x = 163,416.89

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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.