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Finding the Fourth Proportional to 103,693.40, 154,731.09 and 92,523.32

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Solution

The fourth proportional to 103,693.40, 154,731.09 and 92,523.32 is: 138,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693.40 : 154,731.09 = 92,523.32 : x
  2. Step 2: Convert to fraction form
    103,693.40/154,731.09 = 92,523.32/x
  3. Step 3: Cross multiply
    103,693.40x = 154,731.09 × 92,523.32
  4. Step 4: Simplify right side
    103,693.40x = 14,316,234,154.02
  5. Step 5: Solve for x
    x = 14,316,234,154.02/103,693.40
  6. Step 6: Final answer
    x = 138,063.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.