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Finding the Fourth Proportional to 257,542.60, 355,407.68 and 144,365.36

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Solution

The fourth proportional to 257,542.60, 355,407.68 and 144,365.36 is: 199,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,542.60 : 355,407.68 = 144,365.36 : x
  2. Step 2: Convert to fraction form
    257,542.60/355,407.68 = 144,365.36/x
  3. Step 3: Cross multiply
    257,542.60x = 355,407.68 × 144,365.36
  4. Step 4: Simplify right side
    257,542.60x = 51,308,557,669.96
  5. Step 5: Solve for x
    x = 51,308,557,669.96/257,542.60
  6. Step 6: Final answer
    x = 199,223.58

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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.