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Finding the Fourth Proportional to 291,768.06, 437,652.09 and 81,406

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Solution

The fourth proportional to 291,768.06, 437,652.09 and 81,406 is: 122,109

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,768.06 : 437,652.09 = 81,406 : x
  2. Step 2: Convert to fraction form
    291,768.06/437,652.09 = 81,406/x
  3. Step 3: Cross multiply
    291,768.06x = 437,652.09 × 81,406
  4. Step 4: Simplify right side
    291,768.06x = 35,627,506,038.54
  5. Step 5: Solve for x
    x = 35,627,506,038.54/291,768.06
  6. Step 6: Final answer
    x = 122,109

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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.