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Finding the Fourth Proportional to 157,106.22, 216,803.07 and 85,486.41

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Solution

The fourth proportional to 157,106.22, 216,803.07 and 85,486.41 is: 117,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,106.22 : 216,803.07 = 85,486.41 : x
  2. Step 2: Convert to fraction form
    157,106.22/216,803.07 = 85,486.41/x
  3. Step 3: Cross multiply
    157,106.22x = 216,803.07 × 85,486.41
  4. Step 4: Simplify right side
    157,106.22x = 18,533,716,131.28
  5. Step 5: Solve for x
    x = 18,533,716,131.28/157,106.22
  6. Step 6: Final answer
    x = 117,969.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.