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Finding the Fourth Proportional to 277,926.84, 416,990.70 and 109,354.32

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Solution

The fourth proportional to 277,926.84, 416,990.70 and 109,354.32 is: 164,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,926.84 : 416,990.70 = 109,354.32 : x
  2. Step 2: Convert to fraction form
    277,926.84/416,990.70 = 109,354.32/x
  3. Step 3: Cross multiply
    277,926.84x = 416,990.70 × 109,354.32
  4. Step 4: Simplify right side
    277,926.84x = 45,599,734,444.82
  5. Step 5: Solve for x
    x = 45,599,734,444.82/277,926.84
  6. Step 6: Final answer
    x = 164,071.00

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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.