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Finding the Fourth Proportional to 176,164.49, 264,274.29 and 57,808.91

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Solution

The fourth proportional to 176,164.49, 264,274.29 and 57,808.91 is: 86,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,164.49 : 264,274.29 = 57,808.91 : x
  2. Step 2: Convert to fraction form
    176,164.49/264,274.29 = 57,808.91/x
  3. Step 3: Cross multiply
    176,164.49x = 264,274.29 × 57,808.91
  4. Step 4: Simplify right side
    176,164.49x = 15,277,407,324.55
  5. Step 5: Solve for x
    x = 15,277,407,324.55/176,164.49
  6. Step 6: Final answer
    x = 86,722.40

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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.