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Finding the Fourth Proportional to 176,507.76, 264,790.80 and 58,186.20

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Solution

The fourth proportional to 176,507.76, 264,790.80 and 58,186.20 is: 87,288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,507.76 : 264,790.80 = 58,186.20 : x
  2. Step 2: Convert to fraction form
    176,507.76/264,790.80 = 58,186.20/x
  3. Step 3: Cross multiply
    176,507.76x = 264,790.80 × 58,186.20
  4. Step 4: Simplify right side
    176,507.76x = 15,407,170,446.96
  5. Step 5: Solve for x
    x = 15,407,170,446.96/176,507.76
  6. Step 6: Final answer
    x = 87,288.91

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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.