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Finding the Fourth Proportional to 228,144.98, 314,878.92 and 132,707

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Solution

The fourth proportional to 228,144.98, 314,878.92 and 132,707 is: 183,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,144.98 : 314,878.92 = 132,707 : x
  2. Step 2: Convert to fraction form
    228,144.98/314,878.92 = 132,707/x
  3. Step 3: Cross multiply
    228,144.98x = 314,878.92 × 132,707
  4. Step 4: Simplify right side
    228,144.98x = 41,786,636,836.44
  5. Step 5: Solve for x
    x = 41,786,636,836.44/228,144.98
  6. Step 6: Final answer
    x = 183,158.26

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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.