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Finding the Fourth Proportional to 110,012.42, 164,842.84 and 70,536.80

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Solution

The fourth proportional to 110,012.42, 164,842.84 and 70,536.80 is: 105,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,012.42 : 164,842.84 = 70,536.80 : x
  2. Step 2: Convert to fraction form
    110,012.42/164,842.84 = 70,536.80/x
  3. Step 3: Cross multiply
    110,012.42x = 164,842.84 × 70,536.80
  4. Step 4: Simplify right side
    110,012.42x = 11,627,486,436.51
  5. Step 5: Solve for x
    x = 11,627,486,436.51/110,012.42
  6. Step 6: Final answer
    x = 105,692.49

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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.