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Finding the Fourth Proportional to 194,688.16, 292,034.56 and 76,415.20

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Solution

The fourth proportional to 194,688.16, 292,034.56 and 76,415.20 is: 114,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,688.16 : 292,034.56 = 76,415.20 : x
  2. Step 2: Convert to fraction form
    194,688.16/292,034.56 = 76,415.20/x
  3. Step 3: Cross multiply
    194,688.16x = 292,034.56 × 76,415.20
  4. Step 4: Simplify right side
    194,688.16x = 22,315,879,309.31
  5. Step 5: Solve for x
    x = 22,315,879,309.31/194,688.16
  6. Step 6: Final answer
    x = 114,623.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.