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Finding the Fourth Proportional to 100,384.16, 138,527.74 and 55,061.74

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Solution

The fourth proportional to 100,384.16, 138,527.74 and 55,061.74 is: 75,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,384.16 : 138,527.74 = 55,061.74 : x
  2. Step 2: Convert to fraction form
    100,384.16/138,527.74 = 55,061.74/x
  3. Step 3: Cross multiply
    100,384.16x = 138,527.74 × 55,061.74
  4. Step 4: Simplify right side
    100,384.16x = 7,627,577,710.03
  5. Step 5: Solve for x
    x = 7,627,577,710.03/100,384.16
  6. Step 6: Final answer
    x = 75,983.88

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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.