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Finding the Fourth Proportional to 259,416.34, 357,940.11 and 157,495.46

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Solution

The fourth proportional to 259,416.34, 357,940.11 and 157,495.46 is: 217,310.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,416.34 : 357,940.11 = 157,495.46 : x
  2. Step 2: Convert to fraction form
    259,416.34/357,940.11 = 157,495.46/x
  3. Step 3: Cross multiply
    259,416.34x = 357,940.11 × 157,495.46
  4. Step 4: Simplify right side
    259,416.34x = 56,373,941,077.81
  5. Step 5: Solve for x
    x = 56,373,941,077.81/259,416.34
  6. Step 6: Final answer
    x = 217,310.68

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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.