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Finding the Fourth Proportional to 157,406.30, 217,214.34 and 85,784.78

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Solution

The fourth proportional to 157,406.30, 217,214.34 and 85,784.78 is: 118,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,406.30 : 217,214.34 = 85,784.78 : x
  2. Step 2: Convert to fraction form
    157,406.30/217,214.34 = 85,784.78/x
  3. Step 3: Cross multiply
    157,406.30x = 217,214.34 × 85,784.78
  4. Step 4: Simplify right side
    157,406.30x = 18,633,683,283.67
  5. Step 5: Solve for x
    x = 18,633,683,283.67/157,406.30
  6. Step 6: Final answer
    x = 118,379.53

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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.