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Finding the Fourth Proportional to 253,254.30, 379,881.45 and 194,205.30

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Solution

The fourth proportional to 253,254.30, 379,881.45 and 194,205.30 is: 291,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,254.30 : 379,881.45 = 194,205.30 : x
  2. Step 2: Convert to fraction form
    253,254.30/379,881.45 = 194,205.30/x
  3. Step 3: Cross multiply
    253,254.30x = 379,881.45 × 194,205.30
  4. Step 4: Simplify right side
    253,254.30x = 73,774,990,961.69
  5. Step 5: Solve for x
    x = 73,774,990,961.69/253,254.30
  6. Step 6: Final answer
    x = 291,307.95

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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.