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Finding the Fourth Proportional to 101,833.65, 152,730.66 and 51,219.18

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Solution

The fourth proportional to 101,833.65, 152,730.66 and 51,219.18 is: 76,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,833.65 : 152,730.66 = 51,219.18 : x
  2. Step 2: Convert to fraction form
    101,833.65/152,730.66 = 51,219.18/x
  3. Step 3: Cross multiply
    101,833.65x = 152,730.66 × 51,219.18
  4. Step 4: Simplify right side
    101,833.65x = 7,822,739,166.06
  5. Step 5: Solve for x
    x = 7,822,739,166.06/101,833.65
  6. Step 6: Final answer
    x = 76,818.80

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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.