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Finding the Fourth Proportional to 209,856.34, 289,685.73 and 124,957

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Solution

The fourth proportional to 209,856.34, 289,685.73 and 124,957 is: 172,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,856.34 : 289,685.73 = 124,957 : x
  2. Step 2: Convert to fraction form
    209,856.34/289,685.73 = 124,957/x
  3. Step 3: Cross multiply
    209,856.34x = 289,685.73 × 124,957
  4. Step 4: Simplify right side
    209,856.34x = 36,198,259,763.61
  5. Step 5: Solve for x
    x = 36,198,259,763.61/209,856.34
  6. Step 6: Final answer
    x = 172,490.67

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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.