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Finding the Fourth Proportional to 194,496, 268,428.24 and 109,628.52

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Solution

The fourth proportional to 194,496, 268,428.24 and 109,628.52 is: 151,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,496 : 268,428.24 = 109,628.52 : x
  2. Step 2: Convert to fraction form
    194,496/268,428.24 = 109,628.52/x
  3. Step 3: Cross multiply
    194,496x = 268,428.24 × 109,628.52
  4. Step 4: Simplify right side
    194,496x = 29,427,390,677.40
  5. Step 5: Solve for x
    x = 29,427,390,677.40/194,496
  6. Step 6: Final answer
    x = 151,300.75

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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.