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Finding the Fourth Proportional to 277,945, 416,913.09 and 88,402.63

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Solution

The fourth proportional to 277,945, 416,913.09 and 88,402.63 is: 132,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,945 : 416,913.09 = 88,402.63 : x
  2. Step 2: Convert to fraction form
    277,945/416,913.09 = 88,402.63/x
  3. Step 3: Cross multiply
    277,945x = 416,913.09 × 88,402.63
  4. Step 4: Simplify right side
    277,945x = 36,856,213,637.43
  5. Step 5: Solve for x
    x = 36,856,213,637.43/277,945
  6. Step 6: Final answer
    x = 132,602.54

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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.