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Finding the Fourth Proportional to 103,206.30, 154,809.45 and 50,718.30

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Solution

The fourth proportional to 103,206.30, 154,809.45 and 50,718.30 is: 76,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,206.30 : 154,809.45 = 50,718.30 : x
  2. Step 2: Convert to fraction form
    103,206.30/154,809.45 = 50,718.30/x
  3. Step 3: Cross multiply
    103,206.30x = 154,809.45 × 50,718.30
  4. Step 4: Simplify right side
    103,206.30x = 7,851,672,127.94
  5. Step 5: Solve for x
    x = 7,851,672,127.94/103,206.30
  6. Step 6: Final answer
    x = 76,077.45

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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.