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Finding the Fourth Proportional to 189,159.90, 283,850.25 and 104,990.70

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Solution

The fourth proportional to 189,159.90, 283,850.25 and 104,990.70 is: 157,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,159.90 : 283,850.25 = 104,990.70 : x
  2. Step 2: Convert to fraction form
    189,159.90/283,850.25 = 104,990.70/x
  3. Step 3: Cross multiply
    189,159.90x = 283,850.25 × 104,990.70
  4. Step 4: Simplify right side
    189,159.90x = 29,801,636,442.68
  5. Step 5: Solve for x
    x = 29,801,636,442.68/189,159.90
  6. Step 6: Final answer
    x = 157,547.33

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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.