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Finding the Fourth Proportional to 229,904.46, 317,264.94 and 129,302.46

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Solution

The fourth proportional to 229,904.46, 317,264.94 and 129,302.46 is: 178,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,904.46 : 317,264.94 = 129,302.46 : x
  2. Step 2: Convert to fraction form
    229,904.46/317,264.94 = 129,302.46/x
  3. Step 3: Cross multiply
    229,904.46x = 317,264.94 × 129,302.46
  4. Step 4: Simplify right side
    229,904.46x = 41,023,137,213.75
  5. Step 5: Solve for x
    x = 41,023,137,213.75/229,904.46
  6. Step 6: Final answer
    x = 178,435.59

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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.