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Finding the Fourth Proportional to 148,804.56, 205,363.08 and 92,205

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Solution

The fourth proportional to 148,804.56, 205,363.08 and 92,205 is: 127,250.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,804.56 : 205,363.08 = 92,205 : x
  2. Step 2: Convert to fraction form
    148,804.56/205,363.08 = 92,205/x
  3. Step 3: Cross multiply
    148,804.56x = 205,363.08 × 92,205
  4. Step 4: Simplify right side
    148,804.56x = 18,935,502,791.40
  5. Step 5: Solve for x
    x = 18,935,502,791.40/148,804.56
  6. Step 6: Final answer
    x = 127,250.82

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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.