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Finding the Fourth Proportional to 201,417.46, 301,666.65 and 96,310.78

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Solution

The fourth proportional to 201,417.46, 301,666.65 and 96,310.78 is: 144,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,417.46 : 301,666.65 = 96,310.78 : x
  2. Step 2: Convert to fraction form
    201,417.46/301,666.65 = 96,310.78/x
  3. Step 3: Cross multiply
    201,417.46x = 301,666.65 × 96,310.78
  4. Step 4: Simplify right side
    201,417.46x = 29,053,750,361.49
  5. Step 5: Solve for x
    x = 29,053,750,361.49/201,417.46
  6. Step 6: Final answer
    x = 144,246.43

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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.