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Finding the Fourth Proportional to 274,236.34, 411,280.70 and 96,720.28

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Solution

The fourth proportional to 274,236.34, 411,280.70 and 96,720.28 is: 145,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,236.34 : 411,280.70 = 96,720.28 : x
  2. Step 2: Convert to fraction form
    274,236.34/411,280.70 = 96,720.28/x
  3. Step 3: Cross multiply
    274,236.34x = 411,280.70 × 96,720.28
  4. Step 4: Simplify right side
    274,236.34x = 39,779,184,462.60
  5. Step 5: Solve for x
    x = 39,779,184,462.60/274,236.34
  6. Step 6: Final answer
    x = 145,054.39

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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.