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Finding the Fourth Proportional to 238,374.09, 357,257.16 and 111,735

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Solution

The fourth proportional to 238,374.09, 357,257.16 and 111,735 is: 167,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,374.09 : 357,257.16 = 111,735 : x
  2. Step 2: Convert to fraction form
    238,374.09/357,257.16 = 111,735/x
  3. Step 3: Cross multiply
    238,374.09x = 357,257.16 × 111,735
  4. Step 4: Simplify right side
    238,374.09x = 39,918,128,772.60
  5. Step 5: Solve for x
    x = 39,918,128,772.60/238,374.09
  6. Step 6: Final answer
    x = 167,460.02

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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.