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Finding the Fourth Proportional to 145,083.64, 200,219.40 and 81,425.38

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Solution

The fourth proportional to 145,083.64, 200,219.40 and 81,425.38 is: 112,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,083.64 : 200,219.40 = 81,425.38 : x
  2. Step 2: Convert to fraction form
    145,083.64/200,219.40 = 81,425.38/x
  3. Step 3: Cross multiply
    145,083.64x = 200,219.40 × 81,425.38
  4. Step 4: Simplify right side
    145,083.64x = 16,302,940,728.37
  5. Step 5: Solve for x
    x = 16,302,940,728.37/145,083.64
  6. Step 6: Final answer
    x = 112,369.26

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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.