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Finding the Fourth Proportional to 276,001.40, 413,856.30 and 118,051.40

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Solution

The fourth proportional to 276,001.40, 413,856.30 and 118,051.40 is: 177,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,001.40 : 413,856.30 = 118,051.40 : x
  2. Step 2: Convert to fraction form
    276,001.40/413,856.30 = 118,051.40/x
  3. Step 3: Cross multiply
    276,001.40x = 413,856.30 × 118,051.40
  4. Step 4: Simplify right side
    276,001.40x = 48,856,315,613.82
  5. Step 5: Solve for x
    x = 48,856,315,613.82/276,001.40
  6. Step 6: Final answer
    x = 177,014.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.