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Finding the Fourth Proportional to 163,076.64, 224,954.64 and 102,624.72

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Solution

The fourth proportional to 163,076.64, 224,954.64 and 102,624.72 is: 141,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,076.64 : 224,954.64 = 102,624.72 : x
  2. Step 2: Convert to fraction form
    163,076.64/224,954.64 = 102,624.72/x
  3. Step 3: Cross multiply
    163,076.64x = 224,954.64 × 102,624.72
  4. Step 4: Simplify right side
    163,076.64x = 23,085,906,942.70
  5. Step 5: Solve for x
    x = 23,085,906,942.70/163,076.64
  6. Step 6: Final answer
    x = 141,564.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.