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Finding the Fourth Proportional to 154,794.33, 232,191.54 and 102,191.49

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Solution

The fourth proportional to 154,794.33, 232,191.54 and 102,191.49 is: 153,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,794.33 : 232,191.54 = 102,191.49 : x
  2. Step 2: Convert to fraction form
    154,794.33/232,191.54 = 102,191.49/x
  3. Step 3: Cross multiply
    154,794.33x = 232,191.54 × 102,191.49
  4. Step 4: Simplify right side
    154,794.33x = 23,727,999,437.99
  5. Step 5: Solve for x
    x = 23,727,999,437.99/154,794.33
  6. Step 6: Final answer
    x = 153,287.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.