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Finding the Fourth Proportional to 235,702.44, 353,597.64 and 78,041.88

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Solution

The fourth proportional to 235,702.44, 353,597.64 and 78,041.88 is: 117,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,702.44 : 353,597.64 = 78,041.88 : x
  2. Step 2: Convert to fraction form
    235,702.44/353,597.64 = 78,041.88/x
  3. Step 3: Cross multiply
    235,702.44x = 353,597.64 × 78,041.88
  4. Step 4: Simplify right side
    235,702.44x = 27,595,424,589.16
  5. Step 5: Solve for x
    x = 27,595,424,589.16/235,702.44
  6. Step 6: Final answer
    x = 117,077.38

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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.