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Finding the Fourth Proportional to 176,076.40, 263,709.60 and 144,583.60

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Solution

The fourth proportional to 176,076.40, 263,709.60 and 144,583.60 is: 216,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,076.40 : 263,709.60 = 144,583.60 : x
  2. Step 2: Convert to fraction form
    176,076.40/263,709.60 = 144,583.60/x
  3. Step 3: Cross multiply
    176,076.40x = 263,709.60 × 144,583.60
  4. Step 4: Simplify right side
    176,076.40x = 38,128,083,322.56
  5. Step 5: Solve for x
    x = 38,128,083,322.56/176,076.40
  6. Step 6: Final answer
    x = 216,542.84

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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.