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Finding the Fourth Proportional to 178,164.64, 267,256.14 and 45,046.06

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Solution

The fourth proportional to 178,164.64, 267,256.14 and 45,046.06 is: 67,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,164.64 : 267,256.14 = 45,046.06 : x
  2. Step 2: Convert to fraction form
    178,164.64/267,256.14 = 45,046.06/x
  3. Step 3: Cross multiply
    178,164.64x = 267,256.14 × 45,046.06
  4. Step 4: Simplify right side
    178,164.64x = 12,038,836,117.81
  5. Step 5: Solve for x
    x = 12,038,836,117.81/178,164.64
  6. Step 6: Final answer
    x = 67,571.41

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Why These Related Problems?

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