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Finding the Fourth Proportional to 281,017.78, 420,792.95 and 184,652.00

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Solution

The fourth proportional to 281,017.78, 420,792.95 and 184,652.00 is: 276,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,017.78 : 420,792.95 = 184,652.00 : x
  2. Step 2: Convert to fraction form
    281,017.78/420,792.95 = 184,652.00/x
  3. Step 3: Cross multiply
    281,017.78x = 420,792.95 × 184,652.00
  4. Step 4: Simplify right side
    281,017.78x = 77,700,259,739.04
  5. Step 5: Solve for x
    x = 77,700,259,739.04/281,017.78
  6. Step 6: Final answer
    x = 276,495.89

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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.