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Finding the Fourth Proportional to 153,930.76, 230,930.76 and 54,097.84

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Solution

The fourth proportional to 153,930.76, 230,930.76 and 54,097.84 is: 81,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930.76 : 230,930.76 = 54,097.84 : x
  2. Step 2: Convert to fraction form
    153,930.76/230,930.76 = 54,097.84/x
  3. Step 3: Cross multiply
    153,930.76x = 230,930.76 × 54,097.84
  4. Step 4: Simplify right side
    153,930.76x = 12,492,855,305.56
  5. Step 5: Solve for x
    x = 12,492,855,305.56/153,930.76
  6. Step 6: Final answer
    x = 81,158.93

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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.