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Finding the Fourth Proportional to 257,334.32, 355,225.56 and 166,768.02

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Solution

The fourth proportional to 257,334.32, 355,225.56 and 166,768.02 is: 230,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,334.32 : 355,225.56 = 166,768.02 : x
  2. Step 2: Convert to fraction form
    257,334.32/355,225.56 = 166,768.02/x
  3. Step 3: Cross multiply
    257,334.32x = 355,225.56 × 166,768.02
  4. Step 4: Simplify right side
    257,334.32x = 59,240,263,294.59
  5. Step 5: Solve for x
    x = 59,240,263,294.59/257,334.32
  6. Step 6: Final answer
    x = 230,207.39

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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.