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Finding the Fourth Proportional to 243,774.96, 365,701.40 and 75,255.67

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Solution

The fourth proportional to 243,774.96, 365,701.40 and 75,255.67 is: 112,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,774.96 : 365,701.40 = 75,255.67 : x
  2. Step 2: Convert to fraction form
    243,774.96/365,701.40 = 75,255.67/x
  3. Step 3: Cross multiply
    243,774.96x = 365,701.40 × 75,255.67
  4. Step 4: Simplify right side
    243,774.96x = 27,521,103,876.94
  5. Step 5: Solve for x
    x = 27,521,103,876.94/243,774.96
  6. Step 6: Final answer
    x = 112,895.53

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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.