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Finding the Fourth Proportional to 289,178.92, 399,063 and 161,854.48

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Solution

The fourth proportional to 289,178.92, 399,063 and 161,854.48 is: 223,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,178.92 : 399,063 = 161,854.48 : x
  2. Step 2: Convert to fraction form
    289,178.92/399,063 = 161,854.48/x
  3. Step 3: Cross multiply
    289,178.92x = 399,063 × 161,854.48
  4. Step 4: Simplify right side
    289,178.92x = 64,590,134,352.24
  5. Step 5: Solve for x
    x = 64,590,134,352.24/289,178.92
  6. Step 6: Final answer
    x = 223,356.99

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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.