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Finding the Fourth Proportional to 253,464.51, 349,774.09 and 144,566.39

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Solution

The fourth proportional to 253,464.51, 349,774.09 and 144,566.39 is: 199,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,464.51 : 349,774.09 = 144,566.39 : x
  2. Step 2: Convert to fraction form
    253,464.51/349,774.09 = 144,566.39/x
  3. Step 3: Cross multiply
    253,464.51x = 349,774.09 × 144,566.39
  4. Step 4: Simplify right side
    253,464.51x = 50,565,577,506.84
  5. Step 5: Solve for x
    x = 50,565,577,506.84/253,464.51
  6. Step 6: Final answer
    x = 199,497.66

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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.