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Finding the Fourth Proportional to 205,697.40, 308,546.10 and 194,033.40

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Solution

The fourth proportional to 205,697.40, 308,546.10 and 194,033.40 is: 291,050.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,697.40 : 308,546.10 = 194,033.40 : x
  2. Step 2: Convert to fraction form
    205,697.40/308,546.10 = 194,033.40/x
  3. Step 3: Cross multiply
    205,697.40x = 308,546.10 × 194,033.40
  4. Step 4: Simplify right side
    205,697.40x = 59,868,248,839.74
  5. Step 5: Solve for x
    x = 59,868,248,839.74/205,697.40
  6. Step 6: Final answer
    x = 291,050.10

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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.