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Finding the Fourth Proportional to 157,811.10, 217,779 and 86,191.08

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Solution

The fourth proportional to 157,811.10, 217,779 and 86,191.08 is: 118,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,811.10 : 217,779 = 86,191.08 : x
  2. Step 2: Convert to fraction form
    157,811.10/217,779 = 86,191.08/x
  3. Step 3: Cross multiply
    157,811.10x = 217,779 × 86,191.08
  4. Step 4: Simplify right side
    157,811.10x = 18,770,607,211.32
  5. Step 5: Solve for x
    x = 18,770,607,211.32/157,811.10
  6. Step 6: Final answer
    x = 118,943.52

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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.