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Finding the Fourth Proportional to 164,790.68, 247,164.14 and 46,471.55

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Solution

The fourth proportional to 164,790.68, 247,164.14 and 46,471.55 is: 69,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,790.68 : 247,164.14 = 46,471.55 : x
  2. Step 2: Convert to fraction form
    164,790.68/247,164.14 = 46,471.55/x
  3. Step 3: Cross multiply
    164,790.68x = 247,164.14 × 46,471.55
  4. Step 4: Simplify right side
    164,790.68x = 11,486,099,222.04
  5. Step 5: Solve for x
    x = 11,486,099,222.04/164,790.68
  6. Step 6: Final answer
    x = 69,701.15

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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.