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Finding the Fourth Proportional to 256,913.61, 354,573.91 and 154,994.11

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Solution

The fourth proportional to 256,913.61, 354,573.91 and 154,994.11 is: 213,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,913.61 : 354,573.91 = 154,994.11 : x
  2. Step 2: Convert to fraction form
    256,913.61/354,573.91 = 154,994.11/x
  3. Step 3: Cross multiply
    256,913.61x = 354,573.91 × 154,994.11
  4. Step 4: Simplify right side
    256,913.61x = 54,956,868,288.93
  5. Step 5: Solve for x
    x = 54,956,868,288.93/256,913.61
  6. Step 6: Final answer
    x = 213,911.86

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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.