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Finding the Fourth Proportional to 140,083, 193,314.54 and 89,782

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Solution

The fourth proportional to 140,083, 193,314.54 and 89,782 is: 123,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,083 : 193,314.54 = 89,782 : x
  2. Step 2: Convert to fraction form
    140,083/193,314.54 = 89,782/x
  3. Step 3: Cross multiply
    140,083x = 193,314.54 × 89,782
  4. Step 4: Simplify right side
    140,083x = 17,356,166,030.28
  5. Step 5: Solve for x
    x = 17,356,166,030.28/140,083
  6. Step 6: Final answer
    x = 123,899.16

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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.