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Finding the Fourth Proportional to 224,114, 336,171 and 83,938.64

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Solution

The fourth proportional to 224,114, 336,171 and 83,938.64 is: 125,907.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,114 : 336,171 = 83,938.64 : x
  2. Step 2: Convert to fraction form
    224,114/336,171 = 83,938.64/x
  3. Step 3: Cross multiply
    224,114x = 336,171 × 83,938.64
  4. Step 4: Simplify right side
    224,114x = 28,217,736,547.44
  5. Step 5: Solve for x
    x = 28,217,736,547.44/224,114
  6. Step 6: Final answer
    x = 125,907.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.