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Finding the Fourth Proportional to 229,977.34, 317,368.62 and 129,375.34

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Solution

The fourth proportional to 229,977.34, 317,368.62 and 129,375.34 is: 178,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,977.34 : 317,368.62 = 129,375.34 : x
  2. Step 2: Convert to fraction form
    229,977.34/317,368.62 = 129,375.34/x
  3. Step 3: Cross multiply
    229,977.34x = 317,368.62 × 129,375.34
  4. Step 4: Simplify right side
    229,977.34x = 41,059,673,117.83
  5. Step 5: Solve for x
    x = 41,059,673,117.83/229,977.34
  6. Step 6: Final answer
    x = 178,537.91

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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.