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Finding the Fourth Proportional to 157,119.98, 216,830.14 and 85,504.62

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Solution

The fourth proportional to 157,119.98, 216,830.14 and 85,504.62 is: 117,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,119.98 : 216,830.14 = 85,504.62 : x
  2. Step 2: Convert to fraction form
    157,119.98/216,830.14 = 85,504.62/x
  3. Step 3: Cross multiply
    157,119.98x = 216,830.14 × 85,504.62
  4. Step 4: Simplify right side
    157,119.98x = 18,539,978,297.72
  5. Step 5: Solve for x
    x = 18,539,978,297.72/157,119.98
  6. Step 6: Final answer
    x = 117,998.86

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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.