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Finding the Fourth Proportional to 228,462.19, 315,234.08 and 147,878.53

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Solution

The fourth proportional to 228,462.19, 315,234.08 and 147,878.53 is: 204,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,462.19 : 315,234.08 = 147,878.53 : x
  2. Step 2: Convert to fraction form
    228,462.19/315,234.08 = 147,878.53/x
  3. Step 3: Cross multiply
    228,462.19x = 315,234.08 × 147,878.53
  4. Step 4: Simplify right side
    228,462.19x = 46,616,351,383.37
  5. Step 5: Solve for x
    x = 46,616,351,383.37/228,462.19
  6. Step 6: Final answer
    x = 204,044.06

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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.