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Finding the Fourth Proportional to 176,180.64, 264,298.50 and 57,825

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Solution

The fourth proportional to 176,180.64, 264,298.50 and 57,825 is: 86,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,180.64 : 264,298.50 = 57,825 : x
  2. Step 2: Convert to fraction form
    176,180.64/264,298.50 = 57,825/x
  3. Step 3: Cross multiply
    176,180.64x = 264,298.50 × 57,825
  4. Step 4: Simplify right side
    176,180.64x = 15,283,060,762.50
  5. Step 5: Solve for x
    x = 15,283,060,762.50/176,180.64
  6. Step 6: Final answer
    x = 86,746.54

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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.