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Finding the Fourth Proportional to 208,322.82, 312,498.95 and 103,113.54

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Solution

The fourth proportional to 208,322.82, 312,498.95 and 103,113.54 is: 154,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,322.82 : 312,498.95 = 103,113.54 : x
  2. Step 2: Convert to fraction form
    208,322.82/312,498.95 = 103,113.54/x
  3. Step 3: Cross multiply
    208,322.82x = 312,498.95 × 103,113.54
  4. Step 4: Simplify right side
    208,322.82x = 32,222,872,465.22
  5. Step 5: Solve for x
    x = 32,222,872,465.22/208,322.82
  6. Step 6: Final answer
    x = 154,677.59

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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.