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Finding the Fourth Proportional to 241,064.84, 361,664.94 and 89,259.63

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Solution

The fourth proportional to 241,064.84, 361,664.94 and 89,259.63 is: 133,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,064.84 : 361,664.94 = 89,259.63 : x
  2. Step 2: Convert to fraction form
    241,064.84/361,664.94 = 89,259.63/x
  3. Step 3: Cross multiply
    241,064.84x = 361,664.94 × 89,259.63
  4. Step 4: Simplify right side
    241,064.84x = 32,282,078,728.37
  5. Step 5: Solve for x
    x = 32,282,078,728.37/241,064.84
  6. Step 6: Final answer
    x = 133,914.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.