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Finding the Fourth Proportional to 257,108.64, 354,830.40 and 189,434.76

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Solution

The fourth proportional to 257,108.64, 354,830.40 and 189,434.76 is: 261,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,108.64 : 354,830.40 = 189,434.76 : x
  2. Step 2: Convert to fraction form
    257,108.64/354,830.40 = 189,434.76/x
  3. Step 3: Cross multiply
    257,108.64x = 354,830.40 × 189,434.76
  4. Step 4: Simplify right side
    257,108.64x = 67,217,211,664.70
  5. Step 5: Solve for x
    x = 67,217,211,664.70/257,108.64
  6. Step 6: Final answer
    x = 261,435.06

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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.