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Finding the Fourth Proportional to 228,059.15, 314,712.34 and 126,078.12

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Solution

The fourth proportional to 228,059.15, 314,712.34 and 126,078.12 is: 173,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,059.15 : 314,712.34 = 126,078.12 : x
  2. Step 2: Convert to fraction form
    228,059.15/314,712.34 = 126,078.12/x
  3. Step 3: Cross multiply
    228,059.15x = 314,712.34 × 126,078.12
  4. Step 4: Simplify right side
    228,059.15x = 39,678,339,852.81
  5. Step 5: Solve for x
    x = 39,678,339,852.81/228,059.15
  6. Step 6: Final answer
    x = 173,982.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.