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Finding the Fourth Proportional to 106,358.93, 146,775 and 58,612.26

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Solution

The fourth proportional to 106,358.93, 146,775 and 58,612.26 is: 80,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,358.93 : 146,775 = 58,612.26 : x
  2. Step 2: Convert to fraction form
    106,358.93/146,775 = 58,612.26/x
  3. Step 3: Cross multiply
    106,358.93x = 146,775 × 58,612.26
  4. Step 4: Simplify right side
    106,358.93x = 8,602,814,461.50
  5. Step 5: Solve for x
    x = 8,602,814,461.50/106,358.93
  6. Step 6: Final answer
    x = 80,884.74

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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.