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Finding the Fourth Proportional to 214,039.84, 295,377.16 and 129,140.50

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Solution

The fourth proportional to 214,039.84, 295,377.16 and 129,140.50 is: 178,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,039.84 : 295,377.16 = 129,140.50 : x
  2. Step 2: Convert to fraction form
    214,039.84/295,377.16 = 129,140.50/x
  3. Step 3: Cross multiply
    214,039.84x = 295,377.16 × 129,140.50
  4. Step 4: Simplify right side
    214,039.84x = 38,145,154,130.98
  5. Step 5: Solve for x
    x = 38,145,154,130.98/214,039.84
  6. Step 6: Final answer
    x = 178,215.21

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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.