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Finding the Fourth Proportional to 135,274.58, 202,939.54 and 46,516.55

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Solution

The fourth proportional to 135,274.58, 202,939.54 and 46,516.55 is: 69,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,274.58 : 202,939.54 = 46,516.55 : x
  2. Step 2: Convert to fraction form
    135,274.58/202,939.54 = 46,516.55/x
  3. Step 3: Cross multiply
    135,274.58x = 202,939.54 × 46,516.55
  4. Step 4: Simplify right side
    135,274.58x = 9,440,047,259.39
  5. Step 5: Solve for x
    x = 9,440,047,259.39/135,274.58
  6. Step 6: Final answer
    x = 69,784.34

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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.