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Finding the Fourth Proportional to 194,475, 268,375.74 and 105,051

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Solution

The fourth proportional to 194,475, 268,375.74 and 105,051 is: 144,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,475 : 268,375.74 = 105,051 : x
  2. Step 2: Convert to fraction form
    194,475/268,375.74 = 105,051/x
  3. Step 3: Cross multiply
    194,475x = 268,375.74 × 105,051
  4. Step 4: Simplify right side
    194,475x = 28,193,139,862.74
  5. Step 5: Solve for x
    x = 28,193,139,862.74/194,475
  6. Step 6: Final answer
    x = 144,970.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.