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Finding the Fourth Proportional to 257,309.95, 355,106.43 and 155,360.21

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Solution

The fourth proportional to 257,309.95, 355,106.43 and 155,360.21 is: 214,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,309.95 : 355,106.43 = 155,360.21 : x
  2. Step 2: Convert to fraction form
    257,309.95/355,106.43 = 155,360.21/x
  3. Step 3: Cross multiply
    257,309.95x = 355,106.43 × 155,360.21
  4. Step 4: Simplify right side
    257,309.95x = 55,169,409,537.15
  5. Step 5: Solve for x
    x = 55,169,409,537.15/257,309.95
  6. Step 6: Final answer
    x = 214,408.38

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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.