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Finding the Fourth Proportional to 143,453, 197,965.14 and 83,837

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Solution

The fourth proportional to 143,453, 197,965.14 and 83,837 is: 115,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,453 : 197,965.14 = 83,837 : x
  2. Step 2: Convert to fraction form
    143,453/197,965.14 = 83,837/x
  3. Step 3: Cross multiply
    143,453x = 197,965.14 × 83,837
  4. Step 4: Simplify right side
    143,453x = 16,596,803,442.18
  5. Step 5: Solve for x
    x = 16,596,803,442.18/143,453
  6. Step 6: Final answer
    x = 115,695.06

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Why These Related Problems?

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