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Finding the Fourth Proportional to 217,054, 327,059.94 and 178,475.28

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Solution

The fourth proportional to 217,054, 327,059.94 and 178,475.28 is: 268,929.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,054 : 327,059.94 = 178,475.28 : x
  2. Step 2: Convert to fraction form
    217,054/327,059.94 = 178,475.28/x
  3. Step 3: Cross multiply
    217,054x = 327,059.94 × 178,475.28
  4. Step 4: Simplify right side
    217,054x = 58,372,114,368.28
  5. Step 5: Solve for x
    x = 58,372,114,368.28/217,054
  6. Step 6: Final answer
    x = 268,929.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.