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Finding the Fourth Proportional to 289,148.88, 399,025.40 and 161,824.47

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Solution

The fourth proportional to 289,148.88, 399,025.40 and 161,824.47 is: 223,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,148.88 : 399,025.40 = 161,824.47 : x
  2. Step 2: Convert to fraction form
    289,148.88/399,025.40 = 161,824.47/x
  3. Step 3: Cross multiply
    289,148.88x = 399,025.40 × 161,824.47
  4. Step 4: Simplify right side
    289,148.88x = 64,572,073,669.26
  5. Step 5: Solve for x
    x = 64,572,073,669.26/289,148.88
  6. Step 6: Final answer
    x = 223,317.74

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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.