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Finding the Fourth Proportional to 146,249, 219,328.94 and 76,090.04

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Solution

The fourth proportional to 146,249, 219,328.94 and 76,090.04 is: 114,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,249 : 219,328.94 = 76,090.04 : x
  2. Step 2: Convert to fraction form
    146,249/219,328.94 = 76,090.04/x
  3. Step 3: Cross multiply
    146,249x = 219,328.94 × 76,090.04
  4. Step 4: Simplify right side
    146,249x = 16,688,747,817.76
  5. Step 5: Solve for x
    x = 16,688,747,817.76/146,249
  6. Step 6: Final answer
    x = 114,111.88

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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.