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Finding the Fourth Proportional to 158,821.94, 219,276.84 and 98,457.10

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Solution

The fourth proportional to 158,821.94, 219,276.84 and 98,457.10 is: 135,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,821.94 : 219,276.84 = 98,457.10 : x
  2. Step 2: Convert to fraction form
    158,821.94/219,276.84 = 98,457.10/x
  3. Step 3: Cross multiply
    158,821.94x = 219,276.84 × 98,457.10
  4. Step 4: Simplify right side
    158,821.94x = 21,589,361,763.56
  5. Step 5: Solve for x
    x = 21,589,361,763.56/158,821.94
  6. Step 6: Final answer
    x = 135,934.38

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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.