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Finding the Fourth Proportional to 189,064.26, 283,300.89 and 118,795.95

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Solution

The fourth proportional to 189,064.26, 283,300.89 and 118,795.95 is: 178,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,064.26 : 283,300.89 = 118,795.95 : x
  2. Step 2: Convert to fraction form
    189,064.26/283,300.89 = 118,795.95/x
  3. Step 3: Cross multiply
    189,064.26x = 283,300.89 × 118,795.95
  4. Step 4: Simplify right side
    189,064.26x = 33,654,998,363.40
  5. Step 5: Solve for x
    x = 33,654,998,363.40/189,064.26
  6. Step 6: Final answer
    x = 178,008.25

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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.