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Finding the Fourth Proportional to 157,714.41, 217,650.74 and 86,099.07

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Solution

The fourth proportional to 157,714.41, 217,650.74 and 86,099.07 is: 118,819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,714.41 : 217,650.74 = 86,099.07 : x
  2. Step 2: Convert to fraction form
    157,714.41/217,650.74 = 86,099.07/x
  3. Step 3: Cross multiply
    157,714.41x = 217,650.74 × 86,099.07
  4. Step 4: Simplify right side
    157,714.41x = 18,739,525,868.32
  5. Step 5: Solve for x
    x = 18,739,525,868.32/157,714.41
  6. Step 6: Final answer
    x = 118,819.36

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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.