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Finding the Fourth Proportional to 176,531.76, 264,783.24 and 58,201.20

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Solution

The fourth proportional to 176,531.76, 264,783.24 and 58,201.20 is: 87,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,531.76 : 264,783.24 = 58,201.20 : x
  2. Step 2: Convert to fraction form
    176,531.76/264,783.24 = 58,201.20/x
  3. Step 3: Cross multiply
    176,531.76x = 264,783.24 × 58,201.20
  4. Step 4: Simplify right side
    176,531.76x = 15,410,702,307.89
  5. Step 5: Solve for x
    x = 15,410,702,307.89/176,531.76
  6. Step 6: Final answer
    x = 87,297.05

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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.