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Finding the Fourth Proportional to 102,420.14, 141,340.38 and 57,101

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Solution

The fourth proportional to 102,420.14, 141,340.38 and 57,101 is: 78,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,420.14 : 141,340.38 = 57,101 : x
  2. Step 2: Convert to fraction form
    102,420.14/141,340.38 = 57,101/x
  3. Step 3: Cross multiply
    102,420.14x = 141,340.38 × 57,101
  4. Step 4: Simplify right side
    102,420.14x = 8,070,677,038.38
  5. Step 5: Solve for x
    x = 8,070,677,038.38/102,420.14
  6. Step 6: Final answer
    x = 78,799.71

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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.