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Finding the Fourth Proportional to 214,731.60, 321,708.60 and 183,627.60

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Solution

The fourth proportional to 214,731.60, 321,708.60 and 183,627.60 is: 275,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,731.60 : 321,708.60 = 183,627.60 : x
  2. Step 2: Convert to fraction form
    214,731.60/321,708.60 = 183,627.60/x
  3. Step 3: Cross multiply
    214,731.60x = 321,708.60 × 183,627.60
  4. Step 4: Simplify right side
    214,731.60x = 59,074,578,117.36
  5. Step 5: Solve for x
    x = 59,074,578,117.36/214,731.60
  6. Step 6: Final answer
    x = 275,108.92

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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.