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Finding the Fourth Proportional to 180,057.48, 270,086.34 and 46,937.40

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Solution

The fourth proportional to 180,057.48, 270,086.34 and 46,937.40 is: 70,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,057.48 : 270,086.34 = 46,937.40 : x
  2. Step 2: Convert to fraction form
    180,057.48/270,086.34 = 46,937.40/x
  3. Step 3: Cross multiply
    180,057.48x = 270,086.34 × 46,937.40
  4. Step 4: Simplify right side
    180,057.48x = 12,677,150,575.12
  5. Step 5: Solve for x
    x = 12,677,150,575.12/180,057.48
  6. Step 6: Final answer
    x = 70,406.13

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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.