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Finding the Fourth Proportional to 161,046, 241,611.84 and 55,864.80

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Solution

The fourth proportional to 161,046, 241,611.84 and 55,864.80 is: 83,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,046 : 241,611.84 = 55,864.80 : x
  2. Step 2: Convert to fraction form
    161,046/241,611.84 = 55,864.80/x
  3. Step 3: Cross multiply
    161,046x = 241,611.84 × 55,864.80
  4. Step 4: Simplify right side
    161,046x = 13,497,597,119.23
  5. Step 5: Solve for x
    x = 13,497,597,119.23/161,046
  6. Step 6: Final answer
    x = 83,812.06

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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.