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Finding the Fourth Proportional to 146,134, 219,315.84 and 75,053.80

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Solution

The fourth proportional to 146,134, 219,315.84 and 75,053.80 is: 112,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,134 : 219,315.84 = 75,053.80 : x
  2. Step 2: Convert to fraction form
    146,134/219,315.84 = 75,053.80/x
  3. Step 3: Cross multiply
    146,134x = 219,315.84 × 75,053.80
  4. Step 4: Simplify right side
    146,134x = 16,460,487,192.19
  5. Step 5: Solve for x
    x = 16,460,487,192.19/146,134
  6. Step 6: Final answer
    x = 112,639.68

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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.