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Finding the Fourth Proportional to 144,612.64, 199,576.96 and 106,546.08

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Solution

The fourth proportional to 144,612.64, 199,576.96 and 106,546.08 is: 147,042.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,612.64 : 199,576.96 = 106,546.08 : x
  2. Step 2: Convert to fraction form
    144,612.64/199,576.96 = 106,546.08/x
  3. Step 3: Cross multiply
    144,612.64x = 199,576.96 × 106,546.08
  4. Step 4: Simplify right side
    144,612.64x = 21,264,143,827.69
  5. Step 5: Solve for x
    x = 21,264,143,827.69/144,612.64
  6. Step 6: Final answer
    x = 147,042.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.