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Finding the Fourth Proportional to 205,497, 308,337.84 and 130,597.72

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Solution

The fourth proportional to 205,497, 308,337.84 and 130,597.72 is: 195,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,497 : 308,337.84 = 130,597.72 : x
  2. Step 2: Convert to fraction form
    205,497/308,337.84 = 130,597.72/x
  3. Step 3: Cross multiply
    205,497x = 308,337.84 × 130,597.72
  4. Step 4: Simplify right side
    205,497x = 40,268,218,122.88
  5. Step 5: Solve for x
    x = 40,268,218,122.88/205,497
  6. Step 6: Final answer
    x = 195,955.26

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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.