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Finding the Fourth Proportional to 105,911.70, 146,160.68 and 58,166.07

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Solution

The fourth proportional to 105,911.70, 146,160.68 and 58,166.07 is: 80,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,911.70 : 146,160.68 = 58,166.07 : x
  2. Step 2: Convert to fraction form
    105,911.70/146,160.68 = 58,166.07/x
  3. Step 3: Cross multiply
    105,911.70x = 146,160.68 × 58,166.07
  4. Step 4: Simplify right side
    105,911.70x = 8,501,592,344.13
  5. Step 5: Solve for x
    x = 8,501,592,344.13/105,911.70
  6. Step 6: Final answer
    x = 80,270.57

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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.