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Finding the Fourth Proportional to 209,555.91, 289,193.34 and 148,411.49

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Solution

The fourth proportional to 209,555.91, 289,193.34 and 148,411.49 is: 204,812.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,555.91 : 289,193.34 = 148,411.49 : x
  2. Step 2: Convert to fraction form
    209,555.91/289,193.34 = 148,411.49/x
  3. Step 3: Cross multiply
    209,555.91x = 289,193.34 × 148,411.49
  4. Step 4: Simplify right side
    209,555.91x = 42,919,615,224.77
  5. Step 5: Solve for x
    x = 42,919,615,224.77/209,555.91
  6. Step 6: Final answer
    x = 204,812.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.