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Finding the Fourth Proportional to 153,926.76, 230,924.76 and 54,093.84

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Solution

The fourth proportional to 153,926.76, 230,924.76 and 54,093.84 is: 81,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,926.76 : 230,924.76 = 54,093.84 : x
  2. Step 2: Convert to fraction form
    153,926.76/230,924.76 = 54,093.84/x
  3. Step 3: Cross multiply
    153,926.76x = 230,924.76 × 54,093.84
  4. Step 4: Simplify right side
    153,926.76x = 12,491,607,019.48
  5. Step 5: Solve for x
    x = 12,491,607,019.48/153,926.76
  6. Step 6: Final answer
    x = 81,152.93

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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.