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Finding the Fourth Proportional to 102,346.88, 153,523.20 and 28,474.88

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Solution

The fourth proportional to 102,346.88, 153,523.20 and 28,474.88 is: 42,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,346.88 : 153,523.20 = 28,474.88 : x
  2. Step 2: Convert to fraction form
    102,346.88/153,523.20 = 28,474.88/x
  3. Step 3: Cross multiply
    102,346.88x = 153,523.20 × 28,474.88
  4. Step 4: Simplify right side
    102,346.88x = 4,371,554,697.22
  5. Step 5: Solve for x
    x = 4,371,554,697.22/102,346.88
  6. Step 6: Final answer
    x = 42,713.12

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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.