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Finding the Fourth Proportional to 241,465.14, 362,115.70 and 83,656.76

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Solution

The fourth proportional to 241,465.14, 362,115.70 and 83,656.76 is: 125,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,465.14 : 362,115.70 = 83,656.76 : x
  2. Step 2: Convert to fraction form
    241,465.14/362,115.70 = 83,656.76/x
  3. Step 3: Cross multiply
    241,465.14x = 362,115.70 × 83,656.76
  4. Step 4: Simplify right side
    241,465.14x = 30,293,424,187.41
  5. Step 5: Solve for x
    x = 30,293,424,187.41/241,465.14
  6. Step 6: Final answer
    x = 125,456.72

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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.