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Finding the Fourth Proportional to 243,842.64, 365,795.11 and 94,125.74

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Solution

The fourth proportional to 243,842.64, 365,795.11 and 94,125.74 is: 141,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,842.64 : 365,795.11 = 94,125.74 : x
  2. Step 2: Convert to fraction form
    243,842.64/365,795.11 = 94,125.74/x
  3. Step 3: Cross multiply
    243,842.64x = 365,795.11 × 94,125.74
  4. Step 4: Simplify right side
    243,842.64x = 34,430,735,233.95
  5. Step 5: Solve for x
    x = 34,430,735,233.95/243,842.64
  6. Step 6: Final answer
    x = 141,200.64

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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.