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Finding the Fourth Proportional to 157,814.50, 217,784 and 86,194.69

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Solution

The fourth proportional to 157,814.50, 217,784 and 86,194.69 is: 118,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,814.50 : 217,784 = 86,194.69 : x
  2. Step 2: Convert to fraction form
    157,814.50/217,784 = 86,194.69/x
  3. Step 3: Cross multiply
    157,814.50x = 217,784 × 86,194.69
  4. Step 4: Simplify right side
    157,814.50x = 18,771,824,366.96
  5. Step 5: Solve for x
    x = 18,771,824,366.96/157,814.50
  6. Step 6: Final answer
    x = 118,948.67

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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.