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Finding the Fourth Proportional to 180,188.93, 270,290.24 and 53,830.91

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Solution

The fourth proportional to 180,188.93, 270,290.24 and 53,830.91 is: 80,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,188.93 : 270,290.24 = 53,830.91 : x
  2. Step 2: Convert to fraction form
    180,188.93/270,290.24 = 53,830.91/x
  3. Step 3: Cross multiply
    180,188.93x = 270,290.24 × 53,830.91
  4. Step 4: Simplify right side
    180,188.93x = 14,549,969,314.16
  5. Step 5: Solve for x
    x = 14,549,969,314.16/180,188.93
  6. Step 6: Final answer
    x = 80,748.41

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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.