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Finding the Fourth Proportional to 153,920.68, 230,904.06 and 54,092.68

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Solution

The fourth proportional to 153,920.68, 230,904.06 and 54,092.68 is: 81,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,920.68 : 230,904.06 = 54,092.68 : x
  2. Step 2: Convert to fraction form
    153,920.68/230,904.06 = 54,092.68/x
  3. Step 3: Cross multiply
    153,920.68x = 230,904.06 × 54,092.68
  4. Step 4: Simplify right side
    153,920.68x = 12,490,219,428.28
  5. Step 5: Solve for x
    x = 12,490,219,428.28/153,920.68
  6. Step 6: Final answer
    x = 81,147.12

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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.