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Finding the Fourth Proportional to 102,606.56, 153,967.44 and 47,206.88

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Solution

The fourth proportional to 102,606.56, 153,967.44 and 47,206.88 is: 70,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,606.56 : 153,967.44 = 47,206.88 : x
  2. Step 2: Convert to fraction form
    102,606.56/153,967.44 = 47,206.88/x
  3. Step 3: Cross multiply
    102,606.56x = 153,967.44 × 47,206.88
  4. Step 4: Simplify right side
    102,606.56x = 7,268,322,463.99
  5. Step 5: Solve for x
    x = 7,268,322,463.99/102,606.56
  6. Step 6: Final answer
    x = 70,836.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.