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Finding the Fourth Proportional to 238,604.61, 357,851.57 and 105,412.26

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Solution

The fourth proportional to 238,604.61, 357,851.57 and 105,412.26 is: 158,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,604.61 : 357,851.57 = 105,412.26 : x
  2. Step 2: Convert to fraction form
    238,604.61/357,851.57 = 105,412.26/x
  3. Step 3: Cross multiply
    238,604.61x = 357,851.57 × 105,412.26
  4. Step 4: Simplify right side
    238,604.61x = 37,721,942,211.19
  5. Step 5: Solve for x
    x = 37,721,942,211.19/238,604.61
  6. Step 6: Final answer
    x = 158,093.94

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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.