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Finding the Fourth Proportional to 105,809.94, 146,017.31 and 58,064.09

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Solution

The fourth proportional to 105,809.94, 146,017.31 and 58,064.09 is: 80,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,809.94 : 146,017.31 = 58,064.09 : x
  2. Step 2: Convert to fraction form
    105,809.94/146,017.31 = 58,064.09/x
  3. Step 3: Cross multiply
    105,809.94x = 146,017.31 × 58,064.09
  4. Step 4: Simplify right side
    105,809.94x = 8,478,361,208.99
  5. Step 5: Solve for x
    x = 8,478,361,208.99/105,809.94
  6. Step 6: Final answer
    x = 80,128.21

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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.