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Finding the Fourth Proportional to 232,903.80, 321,441.21 and 130,937.67

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Solution

The fourth proportional to 232,903.80, 321,441.21 and 130,937.67 is: 180,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,903.80 : 321,441.21 = 130,937.67 : x
  2. Step 2: Convert to fraction form
    232,903.80/321,441.21 = 130,937.67/x
  3. Step 3: Cross multiply
    232,903.80x = 321,441.21 × 130,937.67
  4. Step 4: Simplify right side
    232,903.80x = 42,088,763,079.38
  5. Step 5: Solve for x
    x = 42,088,763,079.38/232,903.80
  6. Step 6: Final answer
    x = 180,713.08

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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.