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Finding the Fourth Proportional to 189,654, 284,522.58 and 71,325.35

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Solution

The fourth proportional to 189,654, 284,522.58 and 71,325.35 is: 107,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,654 : 284,522.58 = 71,325.35 : x
  2. Step 2: Convert to fraction form
    189,654/284,522.58 = 71,325.35/x
  3. Step 3: Cross multiply
    189,654x = 284,522.58 × 71,325.35
  4. Step 4: Simplify right side
    189,654x = 20,293,671,178.79
  5. Step 5: Solve for x
    x = 20,293,671,178.79/189,654
  6. Step 6: Final answer
    x = 107,003.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.