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Finding the Fourth Proportional to 301,090.23, 415,522.89 and 173,774.01

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Solution

The fourth proportional to 301,090.23, 415,522.89 and 173,774.01 is: 239,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,090.23 : 415,522.89 = 173,774.01 : x
  2. Step 2: Convert to fraction form
    301,090.23/415,522.89 = 173,774.01/x
  3. Step 3: Cross multiply
    301,090.23x = 415,522.89 × 173,774.01
  4. Step 4: Simplify right side
    301,090.23x = 72,207,078,842.09
  5. Step 5: Solve for x
    x = 72,207,078,842.09/301,090.23
  6. Step 6: Final answer
    x = 239,818.74

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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.