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Finding the Fourth Proportional to 322,802.75, 484,281.93 and 101,186.75

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Solution

The fourth proportional to 322,802.75, 484,281.93 and 101,186.75 is: 151,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,802.75 : 484,281.93 = 101,186.75 : x
  2. Step 2: Convert to fraction form
    322,802.75/484,281.93 = 101,186.75/x
  3. Step 3: Cross multiply
    322,802.75x = 484,281.93 × 101,186.75
  4. Step 4: Simplify right side
    322,802.75x = 49,002,914,580.43
  5. Step 5: Solve for x
    x = 49,002,914,580.43/322,802.75
  6. Step 6: Final answer
    x = 151,804.51

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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.