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Finding the Fourth Proportional to 153,930.26, 230,930.01 and 54,097.35

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Solution

The fourth proportional to 153,930.26, 230,930.01 and 54,097.35 is: 81,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930.26 : 230,930.01 = 54,097.35 : x
  2. Step 2: Convert to fraction form
    153,930.26/230,930.01 = 54,097.35/x
  3. Step 3: Cross multiply
    153,930.26x = 230,930.01 × 54,097.35
  4. Step 4: Simplify right side
    153,930.26x = 12,492,701,576.47
  5. Step 5: Solve for x
    x = 12,492,701,576.47/153,930.26
  6. Step 6: Final answer
    x = 81,158.19

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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.