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Finding the Fourth Proportional to 164,836, 247,231.86 and 46,516.84

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Solution

The fourth proportional to 164,836, 247,231.86 and 46,516.84 is: 69,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,836 : 247,231.86 = 46,516.84 : x
  2. Step 2: Convert to fraction form
    164,836/247,231.86 = 46,516.84/x
  3. Step 3: Cross multiply
    164,836x = 247,231.86 × 46,516.84
  4. Step 4: Simplify right side
    164,836x = 11,500,444,874.52
  5. Step 5: Solve for x
    x = 11,500,444,874.52/164,836
  6. Step 6: Final answer
    x = 69,769.01

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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.