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Finding the Fourth Proportional to 252,034.16, 347,806.06 and 137,312.44

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Solution

The fourth proportional to 252,034.16, 347,806.06 and 137,312.44 is: 189,490.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,034.16 : 347,806.06 = 137,312.44 : x
  2. Step 2: Convert to fraction form
    252,034.16/347,806.06 = 137,312.44/x
  3. Step 3: Cross multiply
    252,034.16x = 347,806.06 × 137,312.44
  4. Step 4: Simplify right side
    252,034.16x = 47,758,097,532.59
  5. Step 5: Solve for x
    x = 47,758,097,532.59/252,034.16
  6. Step 6: Final answer
    x = 189,490.58

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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.