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Finding the Fourth Proportional to 180,083.25, 248,514.89 and 100,595.25

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Solution

The fourth proportional to 180,083.25, 248,514.89 and 100,595.25 is: 138,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,083.25 : 248,514.89 = 100,595.25 : x
  2. Step 2: Convert to fraction form
    180,083.25/248,514.89 = 100,595.25/x
  3. Step 3: Cross multiply
    180,083.25x = 248,514.89 × 100,595.25
  4. Step 4: Simplify right side
    180,083.25x = 24,999,416,985.30
  5. Step 5: Solve for x
    x = 24,999,416,985.30/180,083.25
  6. Step 6: Final answer
    x = 138,821.45

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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.