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Finding the Fourth Proportional to 180,197.80, 270,491.10 and 101,465.80

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Solution

The fourth proportional to 180,197.80, 270,491.10 and 101,465.80 is: 152,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,197.80 : 270,491.10 = 101,465.80 : x
  2. Step 2: Convert to fraction form
    180,197.80/270,491.10 = 101,465.80/x
  3. Step 3: Cross multiply
    180,197.80x = 270,491.10 × 101,465.80
  4. Step 4: Simplify right side
    180,197.80x = 27,445,595,854.38
  5. Step 5: Solve for x
    x = 27,445,595,854.38/180,197.80
  6. Step 6: Final answer
    x = 152,308.16

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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.