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Finding the Fourth Proportional to 106,692.46, 147,189.09 and 61,360.54

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Solution

The fourth proportional to 106,692.46, 147,189.09 and 61,360.54 is: 84,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692.46 : 147,189.09 = 61,360.54 : x
  2. Step 2: Convert to fraction form
    106,692.46/147,189.09 = 61,360.54/x
  3. Step 3: Cross multiply
    106,692.46x = 147,189.09 × 61,360.54
  4. Step 4: Simplify right side
    106,692.46x = 9,031,602,044.51
  5. Step 5: Solve for x
    x = 9,031,602,044.51/106,692.46
  6. Step 6: Final answer
    x = 84,650.80

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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.