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Finding the Fourth Proportional to 299,055.16, 412,690.92 and 163,090.16

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Solution

The fourth proportional to 299,055.16, 412,690.92 and 163,090.16 is: 225,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,055.16 : 412,690.92 = 163,090.16 : x
  2. Step 2: Convert to fraction form
    299,055.16/412,690.92 = 163,090.16/x
  3. Step 3: Cross multiply
    299,055.16x = 412,690.92 × 163,090.16
  4. Step 4: Simplify right side
    299,055.16x = 67,305,828,173.35
  5. Step 5: Solve for x
    x = 67,305,828,173.35/299,055.16
  6. Step 6: Final answer
    x = 225,061.58

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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.