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Finding the Fourth Proportional to 305,035.10, 420,973.62 and 169,111.68

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Solution

The fourth proportional to 305,035.10, 420,973.62 and 169,111.68 is: 233,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,035.10 : 420,973.62 = 169,111.68 : x
  2. Step 2: Convert to fraction form
    305,035.10/420,973.62 = 169,111.68/x
  3. Step 3: Cross multiply
    305,035.10x = 420,973.62 × 169,111.68
  4. Step 4: Simplify right side
    305,035.10x = 71,191,556,113.88
  5. Step 5: Solve for x
    x = 71,191,556,113.88/305,035.10
  6. Step 6: Final answer
    x = 233,388.08

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