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Finding the Fourth Proportional to 101,133.76, 151,577.44 and 71,560

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Solution

The fourth proportional to 101,133.76, 151,577.44 and 71,560 is: 107,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,133.76 : 151,577.44 = 71,560 : x
  2. Step 2: Convert to fraction form
    101,133.76/151,577.44 = 71,560/x
  3. Step 3: Cross multiply
    101,133.76x = 151,577.44 × 71,560
  4. Step 4: Simplify right side
    101,133.76x = 10,846,881,606.40
  5. Step 5: Solve for x
    x = 10,846,881,606.40/101,133.76
  6. Step 6: Final answer
    x = 107,252.83

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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.