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Finding the Fourth Proportional to 189,897.01, 284,757.81 and 69,923.83

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Solution

The fourth proportional to 189,897.01, 284,757.81 and 69,923.83 is: 104,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,897.01 : 284,757.81 = 69,923.83 : x
  2. Step 2: Convert to fraction form
    189,897.01/284,757.81 = 69,923.83/x
  3. Step 3: Cross multiply
    189,897.01x = 284,757.81 × 69,923.83
  4. Step 4: Simplify right side
    189,897.01x = 19,911,356,697.61
  5. Step 5: Solve for x
    x = 19,911,356,697.61/189,897.01
  6. Step 6: Final answer
    x = 104,853.45

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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.