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Finding the Fourth Proportional to 233,223.96, 349,860.94 and 64,745

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Solution

The fourth proportional to 233,223.96, 349,860.94 and 64,745 is: 97,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,223.96 : 349,860.94 = 64,745 : x
  2. Step 2: Convert to fraction form
    233,223.96/349,860.94 = 64,745/x
  3. Step 3: Cross multiply
    233,223.96x = 349,860.94 × 64,745
  4. Step 4: Simplify right side
    233,223.96x = 22,651,746,560.30
  5. Step 5: Solve for x
    x = 22,651,746,560.30/233,223.96
  6. Step 6: Final answer
    x = 97,124.44

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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.