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Finding the Fourth Proportional to 257,147.19, 354,533.76 and 199,689.23

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Solution

The fourth proportional to 257,147.19, 354,533.76 and 199,689.23 is: 275,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,147.19 : 354,533.76 = 199,689.23 : x
  2. Step 2: Convert to fraction form
    257,147.19/354,533.76 = 199,689.23/x
  3. Step 3: Cross multiply
    257,147.19x = 354,533.76 × 199,689.23
  4. Step 4: Simplify right side
    257,147.19x = 70,796,574,429.74
  5. Step 5: Solve for x
    x = 70,796,574,429.74/257,147.19
  6. Step 6: Final answer
    x = 275,315.37

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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.