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Finding the Fourth Proportional to 101,808.86, 152,707.05 and 45,633.87

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Solution

The fourth proportional to 101,808.86, 152,707.05 and 45,633.87 is: 68,448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,808.86 : 152,707.05 = 45,633.87 : x
  2. Step 2: Convert to fraction form
    101,808.86/152,707.05 = 45,633.87/x
  3. Step 3: Cross multiply
    101,808.86x = 152,707.05 × 45,633.87
  4. Step 4: Simplify right side
    101,808.86x = 6,968,613,667.78
  5. Step 5: Solve for x
    x = 6,968,613,667.78/101,808.86
  6. Step 6: Final answer
    x = 68,448.01

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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.