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Finding the Fourth Proportional to 301,123.92, 451,554.60 and 101,390.64

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Solution

The fourth proportional to 301,123.92, 451,554.60 and 101,390.64 is: 152,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,123.92 : 451,554.60 = 101,390.64 : x
  2. Step 2: Convert to fraction form
    301,123.92/451,554.60 = 101,390.64/x
  3. Step 3: Cross multiply
    301,123.92x = 451,554.60 × 101,390.64
  4. Step 4: Simplify right side
    301,123.92x = 45,783,409,888.94
  5. Step 5: Solve for x
    x = 45,783,409,888.94/301,123.92
  6. Step 6: Final answer
    x = 152,041.76

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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.