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Finding the Fourth Proportional to 157,832.60, 217,814.22 and 86,219.30

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Solution

The fourth proportional to 157,832.60, 217,814.22 and 86,219.30 is: 118,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,832.60 : 217,814.22 = 86,219.30 : x
  2. Step 2: Convert to fraction form
    157,832.60/217,814.22 = 86,219.30/x
  3. Step 3: Cross multiply
    157,832.60x = 217,814.22 × 86,219.30
  4. Step 4: Simplify right side
    157,832.60x = 18,779,789,578.45
  5. Step 5: Solve for x
    x = 18,779,789,578.45/157,832.60
  6. Step 6: Final answer
    x = 118,985.49

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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.