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Finding the Fourth Proportional to 274,018.56, 411,114.24 and 96,518.40

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Solution

The fourth proportional to 274,018.56, 411,114.24 and 96,518.40 is: 144,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,018.56 : 411,114.24 = 96,518.40 : x
  2. Step 2: Convert to fraction form
    274,018.56/411,114.24 = 96,518.40/x
  3. Step 3: Cross multiply
    274,018.56x = 411,114.24 × 96,518.40
  4. Step 4: Simplify right side
    274,018.56x = 39,680,088,662.02
  5. Step 5: Solve for x
    x = 39,680,088,662.02/274,018.56
  6. Step 6: Final answer
    x = 144,808.03

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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.