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Finding the Fourth Proportional to 216,347.90, 323,172.71 and 160,297.48

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Solution

The fourth proportional to 216,347.90, 323,172.71 and 160,297.48 is: 239,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,347.90 : 323,172.71 = 160,297.48 : x
  2. Step 2: Convert to fraction form
    216,347.90/323,172.71 = 160,297.48/x
  3. Step 3: Cross multiply
    216,347.90x = 323,172.71 × 160,297.48
  4. Step 4: Simplify right side
    216,347.90x = 51,803,769,408.35
  5. Step 5: Solve for x
    x = 51,803,769,408.35/216,347.90
  6. Step 6: Final answer
    x = 239,446.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.