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Finding the Fourth Proportional to 116,188.68, 174,006.54 and 66,837

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Solution

The fourth proportional to 116,188.68, 174,006.54 and 66,837 is: 100,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,188.68 : 174,006.54 = 66,837 : x
  2. Step 2: Convert to fraction form
    116,188.68/174,006.54 = 66,837/x
  3. Step 3: Cross multiply
    116,188.68x = 174,006.54 × 66,837
  4. Step 4: Simplify right side
    116,188.68x = 11,630,075,113.98
  5. Step 5: Solve for x
    x = 11,630,075,113.98/116,188.68
  6. Step 6: Final answer
    x = 100,096.46

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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.