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Finding the Fourth Proportional to 235,837.30, 353,811.30 and 78,065.76

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Solution

The fourth proportional to 235,837.30, 353,811.30 and 78,065.76 is: 117,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,837.30 : 353,811.30 = 78,065.76 : x
  2. Step 2: Convert to fraction form
    235,837.30/353,811.30 = 78,065.76/x
  3. Step 3: Cross multiply
    235,837.30x = 353,811.30 × 78,065.76
  4. Step 4: Simplify right side
    235,837.30x = 27,620,548,031.09
  5. Step 5: Solve for x
    x = 27,620,548,031.09/235,837.30
  6. Step 6: Final answer
    x = 117,116.96

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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.