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Finding the Fourth Proportional to 210,010.40, 315,015.60 and 185,078.60

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Solution

The fourth proportional to 210,010.40, 315,015.60 and 185,078.60 is: 277,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,010.40 : 315,015.60 = 185,078.60 : x
  2. Step 2: Convert to fraction form
    210,010.40/315,015.60 = 185,078.60/x
  3. Step 3: Cross multiply
    210,010.40x = 315,015.60 × 185,078.60
  4. Step 4: Simplify right side
    210,010.40x = 58,302,646,226.16
  5. Step 5: Solve for x
    x = 58,302,646,226.16/210,010.40
  6. Step 6: Final answer
    x = 277,617.90

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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.