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Finding the Fourth Proportional to 257,178.17, 354,829.08 and 166,390.32

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Solution

The fourth proportional to 257,178.17, 354,829.08 and 166,390.32 is: 229,568.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,178.17 : 354,829.08 = 166,390.32 : x
  2. Step 2: Convert to fraction form
    257,178.17/354,829.08 = 166,390.32/x
  3. Step 3: Cross multiply
    257,178.17x = 354,829.08 × 166,390.32
  4. Step 4: Simplify right side
    257,178.17x = 59,040,124,166.51
  5. Step 5: Solve for x
    x = 59,040,124,166.51/257,178.17
  6. Step 6: Final answer
    x = 229,568.96

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1.5x scale

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.