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Finding the Fourth Proportional to 309,111.89, 463,734.26 and 95,875.34

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Solution

The fourth proportional to 309,111.89, 463,734.26 and 95,875.34 is: 143,833.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,111.89 : 463,734.26 = 95,875.34 : x
  2. Step 2: Convert to fraction form
    309,111.89/463,734.26 = 95,875.34/x
  3. Step 3: Cross multiply
    309,111.89x = 463,734.26 × 95,875.34
  4. Step 4: Simplify right side
    309,111.89x = 44,460,679,367.77
  5. Step 5: Solve for x
    x = 44,460,679,367.77/309,111.89
  6. Step 6: Final answer
    x = 143,833.61

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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.