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Finding the Fourth Proportional to 175,688, 263,539.29 and 51,029

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Solution

The fourth proportional to 175,688, 263,539.29 and 51,029 is: 76,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,688 : 263,539.29 = 51,029 : x
  2. Step 2: Convert to fraction form
    175,688/263,539.29 = 51,029/x
  3. Step 3: Cross multiply
    175,688x = 263,539.29 × 51,029
  4. Step 4: Simplify right side
    175,688x = 13,448,146,429.41
  5. Step 5: Solve for x
    x = 13,448,146,429.41/175,688
  6. Step 6: Final answer
    x = 76,545.62

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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.