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Finding the Fourth Proportional to 106,534.67, 147,026.15 and 61,228.46

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Solution

The fourth proportional to 106,534.67, 147,026.15 and 61,228.46 is: 84,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,534.67 : 147,026.15 = 61,228.46 : x
  2. Step 2: Convert to fraction form
    106,534.67/147,026.15 = 61,228.46/x
  3. Step 3: Cross multiply
    106,534.67x = 147,026.15 × 61,228.46
  4. Step 4: Simplify right side
    106,534.67x = 9,002,184,805.65
  5. Step 5: Solve for x
    x = 9,002,184,805.65/106,534.67
  6. Step 6: Final answer
    x = 84,500.05

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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.