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Finding the Fourth Proportional to 211,524.75, 291,904.16 and 116,031.67

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Solution

The fourth proportional to 211,524.75, 291,904.16 and 116,031.67 is: 160,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524.75 : 291,904.16 = 116,031.67 : x
  2. Step 2: Convert to fraction form
    211,524.75/291,904.16 = 116,031.67/x
  3. Step 3: Cross multiply
    211,524.75x = 291,904.16 × 116,031.67
  4. Step 4: Simplify right side
    211,524.75x = 33,870,127,496.79
  5. Step 5: Solve for x
    x = 33,870,127,496.79/211,524.75
  6. Step 6: Final answer
    x = 160,123.71

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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.