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Finding the Fourth Proportional to 180,205.84, 270,046.30 and 86,602.24

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Solution

The fourth proportional to 180,205.84, 270,046.30 and 86,602.24 is: 129,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,205.84 : 270,046.30 = 86,602.24 : x
  2. Step 2: Convert to fraction form
    180,205.84/270,046.30 = 86,602.24/x
  3. Step 3: Cross multiply
    180,205.84x = 270,046.30 × 86,602.24
  4. Step 4: Simplify right side
    180,205.84x = 23,386,614,483.71
  5. Step 5: Solve for x
    x = 23,386,614,483.71/180,205.84
  6. Step 6: Final answer
    x = 129,777.23

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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.