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Finding the Fourth Proportional to 241,672.32, 362,501.28 and 141,755.76

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Solution

The fourth proportional to 241,672.32, 362,501.28 and 141,755.76 is: 212,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,672.32 : 362,501.28 = 141,755.76 : x
  2. Step 2: Convert to fraction form
    241,672.32/362,501.28 = 141,755.76/x
  3. Step 3: Cross multiply
    241,672.32x = 362,501.28 × 141,755.76
  4. Step 4: Simplify right side
    241,672.32x = 51,386,644,447.37
  5. Step 5: Solve for x
    x = 51,386,644,447.37/241,672.32
  6. Step 6: Final answer
    x = 212,629.42

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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.