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Finding the Fourth Proportional to 205,526.76, 308,080 and 116,592.40

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Solution

The fourth proportional to 205,526.76, 308,080 and 116,592.40 is: 174,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,526.76 : 308,080 = 116,592.40 : x
  2. Step 2: Convert to fraction form
    205,526.76/308,080 = 116,592.40/x
  3. Step 3: Cross multiply
    205,526.76x = 308,080 × 116,592.40
  4. Step 4: Simplify right side
    205,526.76x = 35,919,786,592
  5. Step 5: Solve for x
    x = 35,919,786,592/205,526.76
  6. Step 6: Final answer
    x = 174,769.39

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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.