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Finding the Fourth Proportional to 106,191.60, 146,547 and 58,440.48

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Solution

The fourth proportional to 106,191.60, 146,547 and 58,440.48 is: 80,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,191.60 : 146,547 = 58,440.48 : x
  2. Step 2: Convert to fraction form
    106,191.60/146,547 = 58,440.48/x
  3. Step 3: Cross multiply
    106,191.60x = 146,547 × 58,440.48
  4. Step 4: Simplify right side
    106,191.60x = 8,564,277,022.56
  5. Step 5: Solve for x
    x = 8,564,277,022.56/106,191.60
  6. Step 6: Final answer
    x = 80,649.29

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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.