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Finding the Fourth Proportional to 521,955, 782,932.50 and 127,971

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Solution

The fourth proportional to 521,955, 782,932.50 and 127,971 is: 191,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,955 : 782,932.50 = 127,971 : x
  2. Step 2: Convert to fraction form
    521,955/782,932.50 = 127,971/x
  3. Step 3: Cross multiply
    521,955x = 782,932.50 × 127,971
  4. Step 4: Simplify right side
    521,955x = 100,192,654,957.50
  5. Step 5: Solve for x
    x = 100,192,654,957.50/521,955
  6. Step 6: Final answer
    x = 191,956.50

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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.