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Finding the Fourth Proportional to 102,308.54, 141,192.88 and 62,024

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Solution

The fourth proportional to 102,308.54, 141,192.88 and 62,024 is: 85,597.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,308.54 : 141,192.88 = 62,024 : x
  2. Step 2: Convert to fraction form
    102,308.54/141,192.88 = 62,024/x
  3. Step 3: Cross multiply
    102,308.54x = 141,192.88 × 62,024
  4. Step 4: Simplify right side
    102,308.54x = 8,757,347,189.12
  5. Step 5: Solve for x
    x = 8,757,347,189.12/102,308.54
  6. Step 6: Final answer
    x = 85,597.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.