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Finding the Fourth Proportional to 101,502.81, 152,199.12 and 30,415.59

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Solution

The fourth proportional to 101,502.81, 152,199.12 and 30,415.59 is: 45,606.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,502.81 : 152,199.12 = 30,415.59 : x
  2. Step 2: Convert to fraction form
    101,502.81/152,199.12 = 30,415.59/x
  3. Step 3: Cross multiply
    101,502.81x = 152,199.12 × 30,415.59
  4. Step 4: Simplify right side
    101,502.81x = 4,629,226,032.28
  5. Step 5: Solve for x
    x = 4,629,226,032.28/101,502.81
  6. Step 6: Final answer
    x = 45,606.88

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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.