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Finding the Fourth Proportional to 200,894.94, 301,392.57 and 141,846.06

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Solution

The fourth proportional to 200,894.94, 301,392.57 and 141,846.06 is: 212,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,894.94 : 301,392.57 = 141,846.06 : x
  2. Step 2: Convert to fraction form
    200,894.94/301,392.57 = 141,846.06/x
  3. Step 3: Cross multiply
    200,894.94x = 301,392.57 × 141,846.06
  4. Step 4: Simplify right side
    200,894.94x = 42,751,348,567.77
  5. Step 5: Solve for x
    x = 42,751,348,567.77/200,894.94
  6. Step 6: Final answer
    x = 212,804.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.