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Finding the Fourth Proportional to 185,537.25, 256,038.98 and 100,657.35

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Solution

The fourth proportional to 185,537.25, 256,038.98 and 100,657.35 is: 138,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,537.25 : 256,038.98 = 100,657.35 : x
  2. Step 2: Convert to fraction form
    185,537.25/256,038.98 = 100,657.35/x
  3. Step 3: Cross multiply
    185,537.25x = 256,038.98 × 100,657.35
  4. Step 4: Simplify right side
    185,537.25x = 25,772,204,720.22
  5. Step 5: Solve for x
    x = 25,772,204,720.22/185,537.25
  6. Step 6: Final answer
    x = 138,905.82

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