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Finding the Fourth Proportional to 231,113.80, 318,931.32 and 129,133

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Solution

The fourth proportional to 231,113.80, 318,931.32 and 129,133 is: 178,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,113.80 : 318,931.32 = 129,133 : x
  2. Step 2: Convert to fraction form
    231,113.80/318,931.32 = 129,133/x
  3. Step 3: Cross multiply
    231,113.80x = 318,931.32 × 129,133
  4. Step 4: Simplify right side
    231,113.80x = 41,184,558,145.56
  5. Step 5: Solve for x
    x = 41,184,558,145.56/231,113.80
  6. Step 6: Final answer
    x = 178,200.34

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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.