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Finding the Fourth Proportional to 194,473, 268,366.02 and 109,585

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Solution

The fourth proportional to 194,473, 268,366.02 and 109,585 is: 151,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,473 : 268,366.02 = 109,585 : x
  2. Step 2: Convert to fraction form
    194,473/268,366.02 = 109,585/x
  3. Step 3: Cross multiply
    194,473x = 268,366.02 × 109,585
  4. Step 4: Simplify right side
    194,473x = 29,408,890,301.70
  5. Step 5: Solve for x
    x = 29,408,890,301.70/194,473
  6. Step 6: Final answer
    x = 151,223.51

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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.