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Finding the Fourth Proportional to 207,952.30, 311,410.05 and 166,480.30

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Solution

The fourth proportional to 207,952.30, 311,410.05 and 166,480.30 is: 249,305.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,952.30 : 311,410.05 = 166,480.30 : x
  2. Step 2: Convert to fraction form
    207,952.30/311,410.05 = 166,480.30/x
  3. Step 3: Cross multiply
    207,952.30x = 311,410.05 × 166,480.30
  4. Step 4: Simplify right side
    207,952.30x = 51,843,638,547.02
  5. Step 5: Solve for x
    x = 51,843,638,547.02/207,952.30
  6. Step 6: Final answer
    x = 249,305.43

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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.