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Finding the Fourth Proportional to 146,018.34, 218,994.48 and 67,056.66

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Solution

The fourth proportional to 146,018.34, 218,994.48 and 67,056.66 is: 100,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,018.34 : 218,994.48 = 67,056.66 : x
  2. Step 2: Convert to fraction form
    146,018.34/218,994.48 = 67,056.66/x
  3. Step 3: Cross multiply
    146,018.34x = 218,994.48 × 67,056.66
  4. Step 4: Simplify right side
    146,018.34x = 14,685,038,387.24
  5. Step 5: Solve for x
    x = 14,685,038,387.24/146,018.34
  6. Step 6: Final answer
    x = 100,569.82

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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.