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Finding the Fourth Proportional to 243,365.34, 365,141.50 and 171,387.34

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Solution

The fourth proportional to 243,365.34, 365,141.50 and 171,387.34 is: 257,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,365.34 : 365,141.50 = 171,387.34 : x
  2. Step 2: Convert to fraction form
    243,365.34/365,141.50 = 171,387.34/x
  3. Step 3: Cross multiply
    243,365.34x = 365,141.50 × 171,387.34
  4. Step 4: Simplify right side
    243,365.34x = 62,580,630,408.61
  5. Step 5: Solve for x
    x = 62,580,630,408.61/243,365.34
  6. Step 6: Final answer
    x = 257,146.85

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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.