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Finding the Fourth Proportional to 232,601.76, 321,032.32 and 137,102.88

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Solution

The fourth proportional to 232,601.76, 321,032.32 and 137,102.88 is: 189,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,601.76 : 321,032.32 = 137,102.88 : x
  2. Step 2: Convert to fraction form
    232,601.76/321,032.32 = 137,102.88/x
  3. Step 3: Cross multiply
    232,601.76x = 321,032.32 × 137,102.88
  4. Step 4: Simplify right side
    232,601.76x = 44,014,455,645.08
  5. Step 5: Solve for x
    x = 44,014,455,645.08/232,601.76
  6. Step 6: Final answer
    x = 189,226.67

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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.