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Finding the Fourth Proportional to 110,731, 166,213.40 and 51,623.68

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Solution

The fourth proportional to 110,731, 166,213.40 and 51,623.68 is: 77,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,731 : 166,213.40 = 51,623.68 : x
  2. Step 2: Convert to fraction form
    110,731/166,213.40 = 51,623.68/x
  3. Step 3: Cross multiply
    110,731x = 166,213.40 × 51,623.68
  4. Step 4: Simplify right side
    110,731x = 8,580,547,373.31
  5. Step 5: Solve for x
    x = 8,580,547,373.31/110,731
  6. Step 6: Final answer
    x = 77,490.02

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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.