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Finding the Fourth Proportional to 176,086.20, 264,032.10 and 57,696.60

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Solution

The fourth proportional to 176,086.20, 264,032.10 and 57,696.60 is: 86,513.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,086.20 : 264,032.10 = 57,696.60 : x
  2. Step 2: Convert to fraction form
    176,086.20/264,032.10 = 57,696.60/x
  3. Step 3: Cross multiply
    176,086.20x = 264,032.10 × 57,696.60
  4. Step 4: Simplify right side
    176,086.20x = 15,233,754,460.86
  5. Step 5: Solve for x
    x = 15,233,754,460.86/176,086.20
  6. Step 6: Final answer
    x = 86,513.05

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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.