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Finding the Fourth Proportional to 277,510.72, 416,219.52 and 99,984.64

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Solution

The fourth proportional to 277,510.72, 416,219.52 and 99,984.64 is: 149,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,510.72 : 416,219.52 = 99,984.64 : x
  2. Step 2: Convert to fraction form
    277,510.72/416,219.52 = 99,984.64/x
  3. Step 3: Cross multiply
    277,510.72x = 416,219.52 × 99,984.64
  4. Step 4: Simplify right side
    277,510.72x = 41,615,558,868.17
  5. Step 5: Solve for x
    x = 41,615,558,868.17/277,510.72
  6. Step 6: Final answer
    x = 149,960.18

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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.