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Finding the Fourth Proportional to 299,069.12, 412,710.24 and 163,104.16

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Solution

The fourth proportional to 299,069.12, 412,710.24 and 163,104.16 is: 225,080.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,069.12 : 412,710.24 = 163,104.16 : x
  2. Step 2: Convert to fraction form
    299,069.12/412,710.24 = 163,104.16/x
  3. Step 3: Cross multiply
    299,069.12x = 412,710.24 × 163,104.16
  4. Step 4: Simplify right side
    299,069.12x = 67,314,757,018.60
  5. Step 5: Solve for x
    x = 67,314,757,018.60/299,069.12
  6. Step 6: Final answer
    x = 225,080.93

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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.