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Finding the Fourth Proportional to 189,549.84, 284,325.12 and 49,308.24

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Solution

The fourth proportional to 189,549.84, 284,325.12 and 49,308.24 is: 73,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,549.84 : 284,325.12 = 49,308.24 : x
  2. Step 2: Convert to fraction form
    189,549.84/284,325.12 = 49,308.24/x
  3. Step 3: Cross multiply
    189,549.84x = 284,325.12 × 49,308.24
  4. Step 4: Simplify right side
    189,549.84x = 14,019,571,254.99
  5. Step 5: Solve for x
    x = 14,019,571,254.99/189,549.84
  6. Step 6: Final answer
    x = 73,962.45

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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.