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Finding the Fourth Proportional to 182,984.40, 252,509.40 and 102,412.08

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Solution

The fourth proportional to 182,984.40, 252,509.40 and 102,412.08 is: 141,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,984.40 : 252,509.40 = 102,412.08 : x
  2. Step 2: Convert to fraction form
    182,984.40/252,509.40 = 102,412.08/x
  3. Step 3: Cross multiply
    182,984.40x = 252,509.40 × 102,412.08
  4. Step 4: Simplify right side
    182,984.40x = 25,860,012,873.55
  5. Step 5: Solve for x
    x = 25,860,012,873.55/182,984.40
  6. Step 6: Final answer
    x = 141,323.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.