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Finding the Fourth Proportional to 143,464.98, 197,964.60 and 83,038.16

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Solution

The fourth proportional to 143,464.98, 197,964.60 and 83,038.16 is: 114,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,464.98 : 197,964.60 = 83,038.16 : x
  2. Step 2: Convert to fraction form
    143,464.98/197,964.60 = 83,038.16/x
  3. Step 3: Cross multiply
    143,464.98x = 197,964.60 × 83,038.16
  4. Step 4: Simplify right side
    143,464.98x = 16,438,616,129.14
  5. Step 5: Solve for x
    x = 16,438,616,129.14/143,464.98
  6. Step 6: Final answer
    x = 114,582.78

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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.