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Finding the Fourth Proportional to 214,323.57, 295,783.25 and 118,848.87

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Solution

The fourth proportional to 214,323.57, 295,783.25 and 118,848.87 is: 164,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,323.57 : 295,783.25 = 118,848.87 : x
  2. Step 2: Convert to fraction form
    214,323.57/295,783.25 = 118,848.87/x
  3. Step 3: Cross multiply
    214,323.57x = 295,783.25 × 118,848.87
  4. Step 4: Simplify right side
    214,323.57x = 35,153,504,433.18
  5. Step 5: Solve for x
    x = 35,153,504,433.18/214,323.57
  6. Step 6: Final answer
    x = 164,020.71

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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.