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Finding the Fourth Proportional to 146,486.84, 219,582.12 and 57,705.80

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Solution

The fourth proportional to 146,486.84, 219,582.12 and 57,705.80 is: 86,500.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,486.84 : 219,582.12 = 57,705.80 : x
  2. Step 2: Convert to fraction form
    146,486.84/219,582.12 = 57,705.80/x
  3. Step 3: Cross multiply
    146,486.84x = 219,582.12 × 57,705.80
  4. Step 4: Simplify right side
    146,486.84x = 12,671,161,900.30
  5. Step 5: Solve for x
    x = 12,671,161,900.30/146,486.84
  6. Step 6: Final answer
    x = 86,500.34

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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.