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Finding the Fourth Proportional to 180,654.40, 249,299.70 and 109,037.44

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Solution

The fourth proportional to 180,654.40, 249,299.70 and 109,037.44 is: 150,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,654.40 : 249,299.70 = 109,037.44 : x
  2. Step 2: Convert to fraction form
    180,654.40/249,299.70 = 109,037.44/x
  3. Step 3: Cross multiply
    180,654.40x = 249,299.70 × 109,037.44
  4. Step 4: Simplify right side
    180,654.40x = 27,183,001,080.77
  5. Step 5: Solve for x
    x = 27,183,001,080.77/180,654.40
  6. Step 6: Final answer
    x = 150,469.63

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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.