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Finding the Fourth Proportional to 157,120.23, 216,830.48 and 85,504.87

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Solution

The fourth proportional to 157,120.23, 216,830.48 and 85,504.87 is: 117,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,120.23 : 216,830.48 = 85,504.87 : x
  2. Step 2: Convert to fraction form
    157,120.23/216,830.48 = 85,504.87/x
  3. Step 3: Cross multiply
    157,120.23x = 216,830.48 × 85,504.87
  4. Step 4: Simplify right side
    157,120.23x = 18,540,062,004.44
  5. Step 5: Solve for x
    x = 18,540,062,004.44/157,120.23
  6. Step 6: Final answer
    x = 117,999.20

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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.