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Finding the Fourth Proportional to 153,920.40, 230,893.68 and 54,071.88

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Solution

The fourth proportional to 153,920.40, 230,893.68 and 54,071.88 is: 81,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,920.40 : 230,893.68 = 54,071.88 : x
  2. Step 2: Convert to fraction form
    153,920.40/230,893.68 = 54,071.88/x
  3. Step 3: Cross multiply
    153,920.40x = 230,893.68 × 54,071.88
  4. Step 4: Simplify right side
    153,920.40x = 12,484,855,357.72
  5. Step 5: Solve for x
    x = 12,484,855,357.72/153,920.40
  6. Step 6: Final answer
    x = 81,112.41

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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.