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Finding the Fourth Proportional to 228,536.40, 342,221.40 and 181,880.40

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Solution

The fourth proportional to 228,536.40, 342,221.40 and 181,880.40 is: 272,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,536.40 : 342,221.40 = 181,880.40 : x
  2. Step 2: Convert to fraction form
    228,536.40/342,221.40 = 181,880.40/x
  3. Step 3: Cross multiply
    228,536.40x = 342,221.40 × 181,880.40
  4. Step 4: Simplify right side
    228,536.40x = 62,243,365,120.56
  5. Step 5: Solve for x
    x = 62,243,365,120.56/228,536.40
  6. Step 6: Final answer
    x = 272,356.46

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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.