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Finding the Fourth Proportional to 257,261.32, 355,033.29 and 155,285.16

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Solution

The fourth proportional to 257,261.32, 355,033.29 and 155,285.16 is: 214,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,261.32 : 355,033.29 = 155,285.16 : x
  2. Step 2: Convert to fraction form
    257,261.32/355,033.29 = 155,285.16/x
  3. Step 3: Cross multiply
    257,261.32x = 355,033.29 × 155,285.16
  4. Step 4: Simplify right side
    257,261.32x = 55,131,401,242.98
  5. Step 5: Solve for x
    x = 55,131,401,242.98/257,261.32
  6. Step 6: Final answer
    x = 214,301.17

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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.