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Finding the Fourth Proportional to 214,039.34, 295,376.46 and 129,140

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Solution

The fourth proportional to 214,039.34, 295,376.46 and 129,140 is: 178,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,039.34 : 295,376.46 = 129,140 : x
  2. Step 2: Convert to fraction form
    214,039.34/295,376.46 = 129,140/x
  3. Step 3: Cross multiply
    214,039.34x = 295,376.46 × 129,140
  4. Step 4: Simplify right side
    214,039.34x = 38,144,916,044.40
  5. Step 5: Solve for x
    x = 38,144,916,044.40/214,039.34
  6. Step 6: Final answer
    x = 178,214.51

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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.