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Finding the Fourth Proportional to 153,196.62, 211,408.32 and 85,211.28

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Solution

The fourth proportional to 153,196.62, 211,408.32 and 85,211.28 is: 117,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,196.62 : 211,408.32 = 85,211.28 : x
  2. Step 2: Convert to fraction form
    153,196.62/211,408.32 = 85,211.28/x
  3. Step 3: Cross multiply
    153,196.62x = 211,408.32 × 85,211.28
  4. Step 4: Simplify right side
    153,196.62x = 18,014,373,549.85
  5. Step 5: Solve for x
    x = 18,014,373,549.85/153,196.62
  6. Step 6: Final answer
    x = 117,589.89

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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.