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Finding the Fourth Proportional to 224,506.20, 309,871.74 and 129,068.34

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Solution

The fourth proportional to 224,506.20, 309,871.74 and 129,068.34 is: 178,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,506.20 : 309,871.74 = 129,068.34 : x
  2. Step 2: Convert to fraction form
    224,506.20/309,871.74 = 129,068.34/x
  3. Step 3: Cross multiply
    224,506.20x = 309,871.74 × 129,068.34
  4. Step 4: Simplify right side
    224,506.20x = 39,994,631,094.71
  5. Step 5: Solve for x
    x = 39,994,631,094.71/224,506.20
  6. Step 6: Final answer
    x = 178,144.88

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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.