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Finding the Fourth Proportional to 194,269.13, 289,978.90 and 180,022.10

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Solution

The fourth proportional to 194,269.13, 289,978.90 and 180,022.10 is: 268,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,269.13 : 289,978.90 = 180,022.10 : x
  2. Step 2: Convert to fraction form
    194,269.13/289,978.90 = 180,022.10/x
  3. Step 3: Cross multiply
    194,269.13x = 289,978.90 × 180,022.10
  4. Step 4: Simplify right side
    194,269.13x = 52,202,609,646.36
  5. Step 5: Solve for x
    x = 52,202,609,646.36/194,269.13
  6. Step 6: Final answer
    x = 268,712.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.