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Finding the Fourth Proportional to 257,207.29, 355,119.39 and 160,558.30

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Solution

The fourth proportional to 257,207.29, 355,119.39 and 160,558.30 is: 221,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,207.29 : 355,119.39 = 160,558.30 : x
  2. Step 2: Convert to fraction form
    257,207.29/355,119.39 = 160,558.30/x
  3. Step 3: Cross multiply
    257,207.29x = 355,119.39 × 160,558.30
  4. Step 4: Simplify right side
    257,207.29x = 57,017,365,555.44
  5. Step 5: Solve for x
    x = 57,017,365,555.44/257,207.29
  6. Step 6: Final answer
    x = 221,678.65

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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.