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Finding the Fourth Proportional to 215,923.94, 297,748.95 and 185,811.38

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Solution

The fourth proportional to 215,923.94, 297,748.95 and 185,811.38 is: 256,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,923.94 : 297,748.95 = 185,811.38 : x
  2. Step 2: Convert to fraction form
    215,923.94/297,748.95 = 185,811.38/x
  3. Step 3: Cross multiply
    215,923.94x = 297,748.95 × 185,811.38
  4. Step 4: Simplify right side
    215,923.94x = 55,325,143,293.05
  5. Step 5: Solve for x
    x = 55,325,143,293.05/215,923.94
  6. Step 6: Final answer
    x = 256,225.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.