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Finding the Fourth Proportional to 145,969.74, 218,857.41 and 52,463.34

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Solution

The fourth proportional to 145,969.74, 218,857.41 and 52,463.34 is: 78,660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,969.74 : 218,857.41 = 52,463.34 : x
  2. Step 2: Convert to fraction form
    145,969.74/218,857.41 = 52,463.34/x
  3. Step 3: Cross multiply
    145,969.74x = 218,857.41 × 52,463.34
  4. Step 4: Simplify right side
    145,969.74x = 11,481,990,712.35
  5. Step 5: Solve for x
    x = 11,481,990,712.35/145,969.74
  6. Step 6: Final answer
    x = 78,660.08

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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.