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Finding the Fourth Proportional to 209,927.38, 289,688.79 and 119,270.74

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Solution

The fourth proportional to 209,927.38, 289,688.79 and 119,270.74 is: 164,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,927.38 : 289,688.79 = 119,270.74 : x
  2. Step 2: Convert to fraction form
    209,927.38/289,688.79 = 119,270.74/x
  3. Step 3: Cross multiply
    209,927.38x = 289,688.79 × 119,270.74
  4. Step 4: Simplify right side
    209,927.38x = 34,551,396,353.00
  5. Step 5: Solve for x
    x = 34,551,396,353.00/209,927.38
  6. Step 6: Final answer
    x = 164,587.37

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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.