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Finding the Fourth Proportional to 301,903.50, 416,520.63 and 181,083.90

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Solution

The fourth proportional to 301,903.50, 416,520.63 and 181,083.90 is: 249,832.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,903.50 : 416,520.63 = 181,083.90 : x
  2. Step 2: Convert to fraction form
    301,903.50/416,520.63 = 181,083.90/x
  3. Step 3: Cross multiply
    301,903.50x = 416,520.63 × 181,083.90
  4. Step 4: Simplify right side
    301,903.50x = 75,425,180,110.86
  5. Step 5: Solve for x
    x = 75,425,180,110.86/301,903.50
  6. Step 6: Final answer
    x = 249,832.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.