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Finding the Fourth Proportional to 106,005, 146,283.88 and 58,258.28

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Solution

The fourth proportional to 106,005, 146,283.88 and 58,258.28 is: 80,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,005 : 146,283.88 = 58,258.28 : x
  2. Step 2: Convert to fraction form
    106,005/146,283.88 = 58,258.28/x
  3. Step 3: Cross multiply
    106,005x = 146,283.88 × 58,258.28
  4. Step 4: Simplify right side
    106,005x = 8,522,247,240.53
  5. Step 5: Solve for x
    x = 8,522,247,240.53/106,005
  6. Step 6: Final answer
    x = 80,394.77

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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.