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Finding the Fourth Proportional to 255,762.72, 352,824.12 and 180,354.96

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Solution

The fourth proportional to 255,762.72, 352,824.12 and 180,354.96 is: 248,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,762.72 : 352,824.12 = 180,354.96 : x
  2. Step 2: Convert to fraction form
    255,762.72/352,824.12 = 180,354.96/x
  3. Step 3: Cross multiply
    255,762.72x = 352,824.12 × 180,354.96
  4. Step 4: Simplify right side
    255,762.72x = 63,633,580,049.64
  5. Step 5: Solve for x
    x = 63,633,580,049.64/255,762.72
  6. Step 6: Final answer
    x = 248,799.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.