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Finding the Fourth Proportional to 143,596.32, 198,148.60 and 83,186.40

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Solution

The fourth proportional to 143,596.32, 198,148.60 and 83,186.40 is: 114,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,596.32 : 198,148.60 = 83,186.40 : x
  2. Step 2: Convert to fraction form
    143,596.32/198,148.60 = 83,186.40/x
  3. Step 3: Cross multiply
    143,596.32x = 198,148.60 × 83,186.40
  4. Step 4: Simplify right side
    143,596.32x = 16,483,268,699.04
  5. Step 5: Solve for x
    x = 16,483,268,699.04/143,596.32
  6. Step 6: Final answer
    x = 114,788.94

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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.