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Finding the Fourth Proportional to 102,053.88, 153,083.70 and 28,181.88

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Solution

The fourth proportional to 102,053.88, 153,083.70 and 28,181.88 is: 42,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,053.88 : 153,083.70 = 28,181.88 : x
  2. Step 2: Convert to fraction form
    102,053.88/153,083.70 = 28,181.88/x
  3. Step 3: Cross multiply
    102,053.88x = 153,083.70 × 28,181.88
  4. Step 4: Simplify right side
    102,053.88x = 4,314,186,463.36
  5. Step 5: Solve for x
    x = 4,314,186,463.36/102,053.88
  6. Step 6: Final answer
    x = 42,273.62

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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.