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Finding the Fourth Proportional to 299,156.49, 412,838.37 and 163,191.51

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Solution

The fourth proportional to 299,156.49, 412,838.37 and 163,191.51 is: 225,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,156.49 : 412,838.37 = 163,191.51 : x
  2. Step 2: Convert to fraction form
    299,156.49/412,838.37 = 163,191.51/x
  3. Step 3: Cross multiply
    299,156.49x = 412,838.37 × 163,191.51
  4. Step 4: Simplify right side
    299,156.49x = 67,371,716,986.24
  5. Step 5: Solve for x
    x = 67,371,716,986.24/299,156.49
  6. Step 6: Final answer
    x = 225,205.60

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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.