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Finding the Fourth Proportional to 316,090.64, 436,204.90 and 172,850.68

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Solution

The fourth proportional to 316,090.64, 436,204.90 and 172,850.68 is: 238,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,090.64 : 436,204.90 = 172,850.68 : x
  2. Step 2: Convert to fraction form
    316,090.64/436,204.90 = 172,850.68/x
  3. Step 3: Cross multiply
    316,090.64x = 436,204.90 × 172,850.68
  4. Step 4: Simplify right side
    316,090.64x = 75,398,314,600.19
  5. Step 5: Solve for x
    x = 75,398,314,600.19/316,090.64
  6. Step 6: Final answer
    x = 238,533.84

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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.