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Finding the Fourth Proportional to 176,648.40, 264,583.80 and 156,949.20

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Solution

The fourth proportional to 176,648.40, 264,583.80 and 156,949.20 is: 235,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,648.40 : 264,583.80 = 156,949.20 : x
  2. Step 2: Convert to fraction form
    176,648.40/264,583.80 = 156,949.20/x
  3. Step 3: Cross multiply
    176,648.40x = 264,583.80 × 156,949.20
  4. Step 4: Simplify right side
    176,648.40x = 41,526,215,742.96
  5. Step 5: Solve for x
    x = 41,526,215,742.96/176,648.40
  6. Step 6: Final answer
    x = 235,078.36

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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.