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Finding the Fourth Proportional to 274,047.72, 411,235.59 and 96,703.86

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Solution

The fourth proportional to 274,047.72, 411,235.59 and 96,703.86 is: 145,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,047.72 : 411,235.59 = 96,703.86 : x
  2. Step 2: Convert to fraction form
    274,047.72/411,235.59 = 96,703.86/x
  3. Step 3: Cross multiply
    274,047.72x = 411,235.59 × 96,703.86
  4. Step 4: Simplify right side
    274,047.72x = 39,768,068,922.38
  5. Step 5: Solve for x
    x = 39,768,068,922.38/274,047.72
  6. Step 6: Final answer
    x = 145,113.66

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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.