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Finding the Fourth Proportional to 205,375.64, 308,106.66 and 116,670.20

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Solution

The fourth proportional to 205,375.64, 308,106.66 and 116,670.20 is: 175,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,375.64 : 308,106.66 = 116,670.20 : x
  2. Step 2: Convert to fraction form
    205,375.64/308,106.66 = 116,670.20/x
  3. Step 3: Cross multiply
    205,375.64x = 308,106.66 × 116,670.20
  4. Step 4: Simplify right side
    205,375.64x = 35,946,865,643.53
  5. Step 5: Solve for x
    x = 35,946,865,643.53/205,375.64
  6. Step 6: Final answer
    x = 175,029.84

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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.