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Finding the Fourth Proportional to 194,978.82, 292,468.23 and 70,319.82

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Solution

The fourth proportional to 194,978.82, 292,468.23 and 70,319.82 is: 105,479.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,978.82 : 292,468.23 = 70,319.82 : x
  2. Step 2: Convert to fraction form
    194,978.82/292,468.23 = 70,319.82/x
  3. Step 3: Cross multiply
    194,978.82x = 292,468.23 × 70,319.82
  4. Step 4: Simplify right side
    194,978.82x = 20,566,313,289.32
  5. Step 5: Solve for x
    x = 20,566,313,289.32/194,978.82
  6. Step 6: Final answer
    x = 105,479.73

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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.