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Finding the Fourth Proportional to 90,858.54, 136,315.71 and 46,516.42

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Solution

The fourth proportional to 90,858.54, 136,315.71 and 46,516.42 is: 69,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,858.54 : 136,315.71 = 46,516.42 : x
  2. Step 2: Convert to fraction form
    90,858.54/136,315.71 = 46,516.42/x
  3. Step 3: Cross multiply
    90,858.54x = 136,315.71 × 46,516.42
  4. Step 4: Simplify right side
    90,858.54x = 6,340,918,818.96
  5. Step 5: Solve for x
    x = 6,340,918,818.96/90,858.54
  6. Step 6: Final answer
    x = 69,788.91

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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.