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Finding the Fourth Proportional to 277,851.56, 416,587.60 and 133,681.28

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Solution

The fourth proportional to 277,851.56, 416,587.60 and 133,681.28 is: 200,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,851.56 : 416,587.60 = 133,681.28 : x
  2. Step 2: Convert to fraction form
    277,851.56/416,587.60 = 133,681.28/x
  3. Step 3: Cross multiply
    277,851.56x = 416,587.60 × 133,681.28
  4. Step 4: Simplify right side
    277,851.56x = 55,689,963,600.13
  5. Step 5: Solve for x
    x = 55,689,963,600.13/277,851.56
  6. Step 6: Final answer
    x = 200,430.63

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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.