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Finding the Fourth Proportional to 277,892.43, 416,827.03 and 117,924.45

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Solution

The fourth proportional to 277,892.43, 416,827.03 and 117,924.45 is: 176,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,892.43 : 416,827.03 = 117,924.45 : x
  2. Step 2: Convert to fraction form
    277,892.43/416,827.03 = 117,924.45/x
  3. Step 3: Cross multiply
    277,892.43x = 416,827.03 × 117,924.45
  4. Step 4: Simplify right side
    277,892.43x = 49,154,095,584.13
  5. Step 5: Solve for x
    x = 49,154,095,584.13/277,892.43
  6. Step 6: Final answer
    x = 176,881.74

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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.