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Finding the Fourth Proportional to 209,845.98, 314,652.33 and 85,041.18

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Solution

The fourth proportional to 209,845.98, 314,652.33 and 85,041.18 is: 127,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,845.98 : 314,652.33 = 85,041.18 : x
  2. Step 2: Convert to fraction form
    209,845.98/314,652.33 = 85,041.18/x
  3. Step 3: Cross multiply
    209,845.98x = 314,652.33 × 85,041.18
  4. Step 4: Simplify right side
    209,845.98x = 26,758,405,432.95
  5. Step 5: Solve for x
    x = 26,758,405,432.95/209,845.98
  6. Step 6: Final answer
    x = 127,514.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.