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Finding the Fourth Proportional to 153,176.30, 211,381.32 and 85,193

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Solution

The fourth proportional to 153,176.30, 211,381.32 and 85,193 is: 117,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,176.30 : 211,381.32 = 85,193 : x
  2. Step 2: Convert to fraction form
    153,176.30/211,381.32 = 85,193/x
  3. Step 3: Cross multiply
    153,176.30x = 211,381.32 × 85,193
  4. Step 4: Simplify right side
    153,176.30x = 18,008,208,794.76
  5. Step 5: Solve for x
    x = 18,008,208,794.76/153,176.30
  6. Step 6: Final answer
    x = 117,565.24

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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.