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Finding the Fourth Proportional to 200,482.94, 276,666.36 and 109,844.66

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Solution

The fourth proportional to 200,482.94, 276,666.36 and 109,844.66 is: 151,585.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,482.94 : 276,666.36 = 109,844.66 : x
  2. Step 2: Convert to fraction form
    200,482.94/276,666.36 = 109,844.66/x
  3. Step 3: Cross multiply
    200,482.94x = 276,666.36 × 109,844.66
  4. Step 4: Simplify right side
    200,482.94x = 30,390,322,247.64
  5. Step 5: Solve for x
    x = 30,390,322,247.64/200,482.94
  6. Step 6: Final answer
    x = 151,585.58

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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.