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Finding the Fourth Proportional to 101,598.01, 152,490.56 and 51,713.75

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Solution

The fourth proportional to 101,598.01, 152,490.56 and 51,713.75 is: 77,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,598.01 : 152,490.56 = 51,713.75 : x
  2. Step 2: Convert to fraction form
    101,598.01/152,490.56 = 51,713.75/x
  3. Step 3: Cross multiply
    101,598.01x = 152,490.56 × 51,713.75
  4. Step 4: Simplify right side
    101,598.01x = 7,885,858,697.20
  5. Step 5: Solve for x
    x = 7,885,858,697.20/101,598.01
  6. Step 6: Final answer
    x = 77,618.24

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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.