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Finding the Fourth Proportional to 102,978.80, 154,273.80 and 52,888.40

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Solution

The fourth proportional to 102,978.80, 154,273.80 and 52,888.40 is: 79,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,978.80 : 154,273.80 = 52,888.40 : x
  2. Step 2: Convert to fraction form
    102,978.80/154,273.80 = 52,888.40/x
  3. Step 3: Cross multiply
    102,978.80x = 154,273.80 × 52,888.40
  4. Step 4: Simplify right side
    102,978.80x = 8,159,294,443.92
  5. Step 5: Solve for x
    x = 8,159,294,443.92/102,978.80
  6. Step 6: Final answer
    x = 79,232.76

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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.