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Finding the Fourth Proportional to 214,802.60, 322,485.46 and 144,041.87

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Solution

The fourth proportional to 214,802.60, 322,485.46 and 144,041.87 is: 216,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,802.60 : 322,485.46 = 144,041.87 : x
  2. Step 2: Convert to fraction form
    214,802.60/322,485.46 = 144,041.87/x
  3. Step 3: Cross multiply
    214,802.60x = 322,485.46 × 144,041.87
  4. Step 4: Simplify right side
    214,802.60x = 46,451,407,093.78
  5. Step 5: Solve for x
    x = 46,451,407,093.78/214,802.60
  6. Step 6: Final answer
    x = 216,251.61

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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.