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Finding the Fourth Proportional to 235,416.54, 353,071.64 and 66,933.20

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Solution

The fourth proportional to 235,416.54, 353,071.64 and 66,933.20 is: 100,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,416.54 : 353,071.64 = 66,933.20 : x
  2. Step 2: Convert to fraction form
    235,416.54/353,071.64 = 66,933.20/x
  3. Step 3: Cross multiply
    235,416.54x = 353,071.64 × 66,933.20
  4. Step 4: Simplify right side
    235,416.54x = 23,632,215,744.46
  5. Step 5: Solve for x
    x = 23,632,215,744.46/235,416.54
  6. Step 6: Final answer
    x = 100,384.69

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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.