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Finding the Fourth Proportional to 251,307.94, 376,961.14 and 101,546.50

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Solution

The fourth proportional to 251,307.94, 376,961.14 and 101,546.50 is: 152,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,307.94 : 376,961.14 = 101,546.50 : x
  2. Step 2: Convert to fraction form
    251,307.94/376,961.14 = 101,546.50/x
  3. Step 3: Cross multiply
    251,307.94x = 376,961.14 × 101,546.50
  4. Step 4: Simplify right side
    251,307.94x = 38,279,084,403.01
  5. Step 5: Solve for x
    x = 38,279,084,403.01/251,307.94
  6. Step 6: Final answer
    x = 152,319.44

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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.