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Finding the Fourth Proportional to 289,153.80, 399,032.19 and 161,829.39

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Solution

The fourth proportional to 289,153.80, 399,032.19 and 161,829.39 is: 223,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,153.80 : 399,032.19 = 161,829.39 : x
  2. Step 2: Convert to fraction form
    289,153.80/399,032.19 = 161,829.39/x
  3. Step 3: Cross multiply
    289,153.80x = 399,032.19 × 161,829.39
  4. Step 4: Simplify right side
    289,153.80x = 64,575,137,394.43
  5. Step 5: Solve for x
    x = 64,575,137,394.43/289,153.80
  6. Step 6: Final answer
    x = 223,324.53

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1.5x scale

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.