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Finding the Fourth Proportional to 130,822.60, 196,233.90 and 32,326.60

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Solution

The fourth proportional to 130,822.60, 196,233.90 and 32,326.60 is: 48,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,822.60 : 196,233.90 = 32,326.60 : x
  2. Step 2: Convert to fraction form
    130,822.60/196,233.90 = 32,326.60/x
  3. Step 3: Cross multiply
    130,822.60x = 196,233.90 × 32,326.60
  4. Step 4: Simplify right side
    130,822.60x = 6,343,574,791.74
  5. Step 5: Solve for x
    x = 6,343,574,791.74/130,822.60
  6. Step 6: Final answer
    x = 48,489.90

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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.