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Finding the Fourth Proportional to 180,646.88, 249,321.12 and 109,037.12

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Solution

The fourth proportional to 180,646.88, 249,321.12 and 109,037.12 is: 150,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,646.88 : 249,321.12 = 109,037.12 : x
  2. Step 2: Convert to fraction form
    180,646.88/249,321.12 = 109,037.12/x
  3. Step 3: Cross multiply
    180,646.88x = 249,321.12 × 109,037.12
  4. Step 4: Simplify right side
    180,646.88x = 27,185,256,879.97
  5. Step 5: Solve for x
    x = 27,185,256,879.97/180,646.88
  6. Step 6: Final answer
    x = 150,488.38

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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.