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Finding the Fourth Proportional to 102,024.66, 153,083.16 and 52,078.98

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Solution

The fourth proportional to 102,024.66, 153,083.16 and 52,078.98 is: 78,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,024.66 : 153,083.16 = 52,078.98 : x
  2. Step 2: Convert to fraction form
    102,024.66/153,083.16 = 52,078.98/x
  3. Step 3: Cross multiply
    102,024.66x = 153,083.16 × 52,078.98
  4. Step 4: Simplify right side
    102,024.66x = 7,972,414,827.98
  5. Step 5: Solve for x
    x = 7,972,414,827.98/102,024.66
  6. Step 6: Final answer
    x = 78,142.04

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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.