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Finding the Fourth Proportional to 264,036.50, 364,393.41 and 144,827.54

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Solution

The fourth proportional to 264,036.50, 364,393.41 and 144,827.54 is: 199,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,036.50 : 364,393.41 = 144,827.54 : x
  2. Step 2: Convert to fraction form
    264,036.50/364,393.41 = 144,827.54/x
  3. Step 3: Cross multiply
    264,036.50x = 364,393.41 × 144,827.54
  4. Step 4: Simplify right side
    264,036.50x = 52,774,201,162.51
  5. Step 5: Solve for x
    x = 52,774,201,162.51/264,036.50
  6. Step 6: Final answer
    x = 199,874.64

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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.