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Finding the Fourth Proportional to 106,006.56, 146,292.56 and 58,261.60

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Solution

The fourth proportional to 106,006.56, 146,292.56 and 58,261.60 is: 80,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,006.56 : 146,292.56 = 58,261.60 : x
  2. Step 2: Convert to fraction form
    106,006.56/146,292.56 = 58,261.60/x
  3. Step 3: Cross multiply
    106,006.56x = 146,292.56 × 58,261.60
  4. Step 4: Simplify right side
    106,006.56x = 8,523,238,613.70
  5. Step 5: Solve for x
    x = 8,523,238,613.70/106,006.56
  6. Step 6: Final answer
    x = 80,402.94

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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.