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Finding the Fourth Proportional to 646,129.43, 969,193.92 and 172,802.50

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Solution

The fourth proportional to 646,129.43, 969,193.92 and 172,802.50 is: 259,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,129.43 : 969,193.92 = 172,802.50 : x
  2. Step 2: Convert to fraction form
    646,129.43/969,193.92 = 172,802.50/x
  3. Step 3: Cross multiply
    646,129.43x = 969,193.92 × 172,802.50
  4. Step 4: Simplify right side
    646,129.43x = 167,479,127,514.83
  5. Step 5: Solve for x
    x = 167,479,127,514.83/646,129.43
  6. Step 6: Final answer
    x = 259,203.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.