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Finding the Fourth Proportional to 277,628.43, 416,614 and 109,119.21

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Solution

The fourth proportional to 277,628.43, 416,614 and 109,119.21 is: 163,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,628.43 : 416,614 = 109,119.21 : x
  2. Step 2: Convert to fraction form
    277,628.43/416,614 = 109,119.21/x
  3. Step 3: Cross multiply
    277,628.43x = 416,614 × 109,119.21
  4. Step 4: Simplify right side
    277,628.43x = 45,460,590,554.94
  5. Step 5: Solve for x
    x = 45,460,590,554.94/277,628.43
  6. Step 6: Final answer
    x = 163,746.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.