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Finding the Fourth Proportional to 257,852.75, 355,842.92 and 144,683.87

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Solution

The fourth proportional to 257,852.75, 355,842.92 and 144,683.87 is: 199,667.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,852.75 : 355,842.92 = 144,683.87 : x
  2. Step 2: Convert to fraction form
    257,852.75/355,842.92 = 144,683.87/x
  3. Step 3: Cross multiply
    257,852.75x = 355,842.92 × 144,683.87
  4. Step 4: Simplify right side
    257,852.75x = 51,484,729,360.20
  5. Step 5: Solve for x
    x = 51,484,729,360.20/257,852.75
  6. Step 6: Final answer
    x = 199,667.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.