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Finding the Fourth Proportional to 257,419.46, 354,845.08 and 180,723.40

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Solution

The fourth proportional to 257,419.46, 354,845.08 and 180,723.40 is: 249,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,419.46 : 354,845.08 = 180,723.40 : x
  2. Step 2: Convert to fraction form
    257,419.46/354,845.08 = 180,723.40/x
  3. Step 3: Cross multiply
    257,419.46x = 354,845.08 × 180,723.40
  4. Step 4: Simplify right side
    257,419.46x = 64,128,809,330.87
  5. Step 5: Solve for x
    x = 64,128,809,330.87/257,419.46
  6. Step 6: Final answer
    x = 249,121.84

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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.