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Finding the Fourth Proportional to 229,716, 317,027.52 and 129,133.44

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Solution

The fourth proportional to 229,716, 317,027.52 and 129,133.44 is: 178,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716 : 317,027.52 = 129,133.44 : x
  2. Step 2: Convert to fraction form
    229,716/317,027.52 = 129,133.44/x
  3. Step 3: Cross multiply
    229,716x = 317,027.52 × 129,133.44
  4. Step 4: Simplify right side
    229,716x = 40,938,854,232.27
  5. Step 5: Solve for x
    x = 40,938,854,232.27/229,716
  6. Step 6: Final answer
    x = 178,215.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.