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Finding the Fourth Proportional to 151,416, 227,054.76 and 56,576.58

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Solution

The fourth proportional to 151,416, 227,054.76 and 56,576.58 is: 84,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,416 : 227,054.76 = 56,576.58 : x
  2. Step 2: Convert to fraction form
    151,416/227,054.76 = 56,576.58/x
  3. Step 3: Cross multiply
    151,416x = 227,054.76 × 56,576.58
  4. Step 4: Simplify right side
    151,416x = 12,845,981,793.52
  5. Step 5: Solve for x
    x = 12,845,981,793.52/151,416
  6. Step 6: Final answer
    x = 84,839.00

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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.