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Finding the Fourth Proportional to 166,978.02, 230,464.49 and 153,528.02

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Solution

The fourth proportional to 166,978.02, 230,464.49 and 153,528.02 is: 211,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,978.02 : 230,464.49 = 153,528.02 : x
  2. Step 2: Convert to fraction form
    166,978.02/230,464.49 = 153,528.02/x
  3. Step 3: Cross multiply
    166,978.02x = 230,464.49 × 153,528.02
  4. Step 4: Simplify right side
    166,978.02x = 35,382,756,830.01
  5. Step 5: Solve for x
    x = 35,382,756,830.01/166,978.02
  6. Step 6: Final answer
    x = 211,900.69

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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.