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Finding the Fourth Proportional to 257,390.40, 355,198.80 and 144,214.08

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Solution

The fourth proportional to 257,390.40, 355,198.80 and 144,214.08 is: 199,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,390.40 : 355,198.80 = 144,214.08 : x
  2. Step 2: Convert to fraction form
    257,390.40/355,198.80 = 144,214.08/x
  3. Step 3: Cross multiply
    257,390.40x = 355,198.80 × 144,214.08
  4. Step 4: Simplify right side
    257,390.40x = 51,224,668,159.10
  5. Step 5: Solve for x
    x = 51,224,668,159.10/257,390.40
  6. Step 6: Final answer
    x = 199,015.46

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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.