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Finding the Fourth Proportional to 241,307.76, 362,027.28 and 83,548.56

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Solution

The fourth proportional to 241,307.76, 362,027.28 and 83,548.56 is: 125,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,307.76 : 362,027.28 = 83,548.56 : x
  2. Step 2: Convert to fraction form
    241,307.76/362,027.28 = 83,548.56/x
  3. Step 3: Cross multiply
    241,307.76x = 362,027.28 × 83,548.56
  4. Step 4: Simplify right side
    241,307.76x = 30,246,857,924.72
  5. Step 5: Solve for x
    x = 30,246,857,924.72/241,307.76
  6. Step 6: Final answer
    x = 125,345.57

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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.