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Finding the Fourth Proportional to 233,161.40, 349,742.10 and 213,721.40

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Solution

The fourth proportional to 233,161.40, 349,742.10 and 213,721.40 is: 320,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,161.40 : 349,742.10 = 213,721.40 : x
  2. Step 2: Convert to fraction form
    233,161.40/349,742.10 = 213,721.40/x
  3. Step 3: Cross multiply
    233,161.40x = 349,742.10 × 213,721.40
  4. Step 4: Simplify right side
    233,161.40x = 74,747,371,250.94
  5. Step 5: Solve for x
    x = 74,747,371,250.94/233,161.40
  6. Step 6: Final answer
    x = 320,582.10

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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.