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Finding the Fourth Proportional to 106,603.63, 147,107.75 and 61,249.50

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Solution

The fourth proportional to 106,603.63, 147,107.75 and 61,249.50 is: 84,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,603.63 : 147,107.75 = 61,249.50 : x
  2. Step 2: Convert to fraction form
    106,603.63/147,107.75 = 61,249.50/x
  3. Step 3: Cross multiply
    106,603.63x = 147,107.75 × 61,249.50
  4. Step 4: Simplify right side
    106,603.63x = 9,010,275,827.38
  5. Step 5: Solve for x
    x = 9,010,275,827.38/106,603.63
  6. Step 6: Final answer
    x = 84,521.29

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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.