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Finding the Fourth Proportional to 264,833.58, 365,477.52 and 143,983.02

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Solution

The fourth proportional to 264,833.58, 365,477.52 and 143,983.02 is: 198,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,833.58 : 365,477.52 = 143,983.02 : x
  2. Step 2: Convert to fraction form
    264,833.58/365,477.52 = 143,983.02/x
  3. Step 3: Cross multiply
    264,833.58x = 365,477.52 × 143,983.02
  4. Step 4: Simplify right side
    264,833.58x = 52,622,557,071.71
  5. Step 5: Solve for x
    x = 52,622,557,071.71/264,833.58
  6. Step 6: Final answer
    x = 198,700.47

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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.