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Finding the Fourth Proportional to 216,425.40, 324,638.10 and 127,721.40

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Solution

The fourth proportional to 216,425.40, 324,638.10 and 127,721.40 is: 191,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,425.40 : 324,638.10 = 127,721.40 : x
  2. Step 2: Convert to fraction form
    216,425.40/324,638.10 = 127,721.40/x
  3. Step 3: Cross multiply
    216,425.40x = 324,638.10 × 127,721.40
  4. Step 4: Simplify right side
    216,425.40x = 41,463,232,625.34
  5. Step 5: Solve for x
    x = 41,463,232,625.34/216,425.40
  6. Step 6: Final answer
    x = 191,582.10

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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.