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Finding the Fourth Proportional to 145,142.49, 200,261.58 and 84,678.62

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Solution

The fourth proportional to 145,142.49, 200,261.58 and 84,678.62 is: 116,836.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,142.49 : 200,261.58 = 84,678.62 : x
  2. Step 2: Convert to fraction form
    145,142.49/200,261.58 = 84,678.62/x
  3. Step 3: Cross multiply
    145,142.49x = 200,261.58 × 84,678.62
  4. Step 4: Simplify right side
    145,142.49x = 16,957,874,233.42
  5. Step 5: Solve for x
    x = 16,957,874,233.42/145,142.49
  6. Step 6: Final answer
    x = 116,836.04

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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.