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Finding the Fourth Proportional to 214,420.42, 295,935.60 and 118,957.87

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Solution

The fourth proportional to 214,420.42, 295,935.60 and 118,957.87 is: 164,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,420.42 : 295,935.60 = 118,957.87 : x
  2. Step 2: Convert to fraction form
    214,420.42/295,935.60 = 118,957.87/x
  3. Step 3: Cross multiply
    214,420.42x = 295,935.60 × 118,957.87
  4. Step 4: Simplify right side
    214,420.42x = 35,203,868,633.17
  5. Step 5: Solve for x
    x = 35,203,868,633.17/214,420.42
  6. Step 6: Final answer
    x = 164,181.51

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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.