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Finding the Fourth Proportional to 235,493.60, 353,190.93 and 77,685.08

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Solution

The fourth proportional to 235,493.60, 353,190.93 and 77,685.08 is: 116,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,493.60 : 353,190.93 = 77,685.08 : x
  2. Step 2: Convert to fraction form
    235,493.60/353,190.93 = 77,685.08/x
  3. Step 3: Cross multiply
    235,493.60x = 353,190.93 × 77,685.08
  4. Step 4: Simplify right side
    235,493.60x = 27,437,663,886.37
  5. Step 5: Solve for x
    x = 27,437,663,886.37/235,493.60
  6. Step 6: Final answer
    x = 116,511.30

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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.