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Finding the Fourth Proportional to 106,410.84, 146,853.57 and 58,664.10

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Solution

The fourth proportional to 106,410.84, 146,853.57 and 58,664.10 is: 80,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,410.84 : 146,853.57 = 58,664.10 : x
  2. Step 2: Convert to fraction form
    106,410.84/146,853.57 = 58,664.10/x
  3. Step 3: Cross multiply
    106,410.84x = 146,853.57 × 58,664.10
  4. Step 4: Simplify right side
    106,410.84x = 8,615,032,515.84
  5. Step 5: Solve for x
    x = 8,615,032,515.84/106,410.84
  6. Step 6: Final answer
    x = 80,960.10

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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.