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Finding the Fourth Proportional to 194,648.87, 268,621.85 and 112,970.95

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Solution

The fourth proportional to 194,648.87, 268,621.85 and 112,970.95 is: 155,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,648.87 : 268,621.85 = 112,970.95 : x
  2. Step 2: Convert to fraction form
    194,648.87/268,621.85 = 112,970.95/x
  3. Step 3: Cross multiply
    194,648.87x = 268,621.85 × 112,970.95
  4. Step 4: Simplify right side
    194,648.87x = 30,346,465,196.13
  5. Step 5: Solve for x
    x = 30,346,465,196.13/194,648.87
  6. Step 6: Final answer
    x = 155,903.63

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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.