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Finding the Fourth Proportional to 106,449.57, 146,893.70 and 61,095.63

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Solution

The fourth proportional to 106,449.57, 146,893.70 and 61,095.63 is: 84,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,449.57 : 146,893.70 = 61,095.63 : x
  2. Step 2: Convert to fraction form
    106,449.57/146,893.70 = 61,095.63/x
  3. Step 3: Cross multiply
    106,449.57x = 146,893.70 × 61,095.63
  4. Step 4: Simplify right side
    106,449.57x = 8,974,562,839.05
  5. Step 5: Solve for x
    x = 8,974,562,839.05/106,449.57
  6. Step 6: Final answer
    x = 84,308.12

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1.5x scale

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.