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Finding the Fourth Proportional to 277,234.52, 415,790.48 and 77,501.21

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Solution

The fourth proportional to 277,234.52, 415,790.48 and 77,501.21 is: 116,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,234.52 : 415,790.48 = 77,501.21 : x
  2. Step 2: Convert to fraction form
    277,234.52/415,790.48 = 77,501.21/x
  3. Step 3: Cross multiply
    277,234.52x = 415,790.48 × 77,501.21
  4. Step 4: Simplify right side
    277,234.52x = 32,224,263,421.28
  5. Step 5: Solve for x
    x = 32,224,263,421.28/277,234.52
  6. Step 6: Final answer
    x = 116,234.67

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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.