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Finding the Fourth Proportional to 277,741.40, 416,612.10 and 144,881.16

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Solution

The fourth proportional to 277,741.40, 416,612.10 and 144,881.16 is: 217,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,741.40 : 416,612.10 = 144,881.16 : x
  2. Step 2: Convert to fraction form
    277,741.40/416,612.10 = 144,881.16/x
  3. Step 3: Cross multiply
    277,741.40x = 416,612.10 × 144,881.16
  4. Step 4: Simplify right side
    277,741.40x = 60,359,244,318.04
  5. Step 5: Solve for x
    x = 60,359,244,318.04/277,741.40
  6. Step 6: Final answer
    x = 217,321.74

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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.