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Finding the Fourth Proportional to 202,165.60, 278,966.20 and 117,266.24

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Solution

The fourth proportional to 202,165.60, 278,966.20 and 117,266.24 is: 161,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,165.60 : 278,966.20 = 117,266.24 : x
  2. Step 2: Convert to fraction form
    202,165.60/278,966.20 = 117,266.24/x
  3. Step 3: Cross multiply
    202,165.60x = 278,966.20 × 117,266.24
  4. Step 4: Simplify right side
    202,165.60x = 32,713,317,361.09
  5. Step 5: Solve for x
    x = 32,713,317,361.09/202,165.60
  6. Step 6: Final answer
    x = 161,814.46

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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.