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Finding the Fourth Proportional to 189,393.14, 284,158.05 and 117,262.12

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Solution

The fourth proportional to 189,393.14, 284,158.05 and 117,262.12 is: 175,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,393.14 : 284,158.05 = 117,262.12 : x
  2. Step 2: Convert to fraction form
    189,393.14/284,158.05 = 117,262.12/x
  3. Step 3: Cross multiply
    189,393.14x = 284,158.05 × 117,262.12
  4. Step 4: Simplify right side
    189,393.14x = 33,320,975,358.07
  5. Step 5: Solve for x
    x = 33,320,975,358.07/189,393.14
  6. Step 6: Final answer
    x = 175,935.49

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Why These Related Problems?

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