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Finding the Fourth Proportional to 157,416.09, 217,238.76 and 85,800.75

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Solution

The fourth proportional to 157,416.09, 217,238.76 and 85,800.75 is: 118,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,416.09 : 217,238.76 = 85,800.75 : x
  2. Step 2: Convert to fraction form
    157,416.09/217,238.76 = 85,800.75/x
  3. Step 3: Cross multiply
    157,416.09x = 217,238.76 × 85,800.75
  4. Step 4: Simplify right side
    157,416.09x = 18,639,248,537.07
  5. Step 5: Solve for x
    x = 18,639,248,537.07/157,416.09
  6. Step 6: Final answer
    x = 118,407.52

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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.