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Finding the Fourth Proportional to 277,754.36, 416,632.08 and 100,386.60

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Solution

The fourth proportional to 277,754.36, 416,632.08 and 100,386.60 is: 150,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,754.36 : 416,632.08 = 100,386.60 : x
  2. Step 2: Convert to fraction form
    277,754.36/416,632.08 = 100,386.60/x
  3. Step 3: Cross multiply
    277,754.36x = 416,632.08 × 100,386.60
  4. Step 4: Simplify right side
    277,754.36x = 41,824,277,962.13
  5. Step 5: Solve for x
    x = 41,824,277,962.13/277,754.36
  6. Step 6: Final answer
    x = 150,580.10

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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.