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Finding the Fourth Proportional to 148,609.84, 205,078.08 and 84,947.08

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Solution

The fourth proportional to 148,609.84, 205,078.08 and 84,947.08 is: 117,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,609.84 : 205,078.08 = 84,947.08 : x
  2. Step 2: Convert to fraction form
    148,609.84/205,078.08 = 84,947.08/x
  3. Step 3: Cross multiply
    148,609.84x = 205,078.08 × 84,947.08
  4. Step 4: Simplify right side
    148,609.84x = 17,420,784,068.01
  5. Step 5: Solve for x
    x = 17,420,784,068.01/148,609.84
  6. Step 6: Final answer
    x = 117,224.97

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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.