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Finding the Fourth Proportional to 257,905.87, 355,935.68 and 144,729.07

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Solution

The fourth proportional to 257,905.87, 355,935.68 and 144,729.07 is: 199,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,905.87 : 355,935.68 = 144,729.07 : x
  2. Step 2: Convert to fraction form
    257,905.87/355,935.68 = 144,729.07/x
  3. Step 3: Cross multiply
    257,905.87x = 355,935.68 × 144,729.07
  4. Step 4: Simplify right side
    257,905.87x = 51,514,239,222.57
  5. Step 5: Solve for x
    x = 51,514,239,222.57/257,905.87
  6. Step 6: Final answer
    x = 199,740.47

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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.