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Finding the Fourth Proportional to 210,411.80, 315,617.70 and 163,410.20

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Solution

The fourth proportional to 210,411.80, 315,617.70 and 163,410.20 is: 245,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,411.80 : 315,617.70 = 163,410.20 : x
  2. Step 2: Convert to fraction form
    210,411.80/315,617.70 = 163,410.20/x
  3. Step 3: Cross multiply
    210,411.80x = 315,617.70 × 163,410.20
  4. Step 4: Simplify right side
    210,411.80x = 51,575,151,480.54
  5. Step 5: Solve for x
    x = 51,575,151,480.54/210,411.80
  6. Step 6: Final answer
    x = 245,115.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.