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Finding the Fourth Proportional to 289,511.80, 434,246.10 and 120,988.60

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Solution

The fourth proportional to 289,511.80, 434,246.10 and 120,988.60 is: 181,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,511.80 : 434,246.10 = 120,988.60 : x
  2. Step 2: Convert to fraction form
    289,511.80/434,246.10 = 120,988.60/x
  3. Step 3: Cross multiply
    289,511.80x = 434,246.10 × 120,988.60
  4. Step 4: Simplify right side
    289,511.80x = 52,538,827,694.46
  5. Step 5: Solve for x
    x = 52,538,827,694.46/289,511.80
  6. Step 6: Final answer
    x = 181,473.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.