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Finding the Fourth Proportional to 194,483, 268,386.78 and 105,059

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Solution

The fourth proportional to 194,483, 268,386.78 and 105,059 is: 144,981.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,483 : 268,386.78 = 105,059 : x
  2. Step 2: Convert to fraction form
    194,483/268,386.78 = 105,059/x
  3. Step 3: Cross multiply
    194,483x = 268,386.78 × 105,059
  4. Step 4: Simplify right side
    194,483x = 28,196,446,720.02
  5. Step 5: Solve for x
    x = 28,196,446,720.02/194,483
  6. Step 6: Final answer
    x = 144,981.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.