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Finding the Fourth Proportional to 176,021.40, 264,029.70 and 57,696.60

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Solution

The fourth proportional to 176,021.40, 264,029.70 and 57,696.60 is: 86,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,021.40 : 264,029.70 = 57,696.60 : x
  2. Step 2: Convert to fraction form
    176,021.40/264,029.70 = 57,696.60/x
  3. Step 3: Cross multiply
    176,021.40x = 264,029.70 × 57,696.60
  4. Step 4: Simplify right side
    176,021.40x = 15,233,615,989.02
  5. Step 5: Solve for x
    x = 15,233,615,989.02/176,021.40
  6. Step 6: Final answer
    x = 86,544.11

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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.