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Finding the Fourth Proportional to 150,862, 226,322.13 and 57,360.46

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Solution

The fourth proportional to 150,862, 226,322.13 and 57,360.46 is: 86,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,862 : 226,322.13 = 57,360.46 : x
  2. Step 2: Convert to fraction form
    150,862/226,322.13 = 57,360.46/x
  3. Step 3: Cross multiply
    150,862x = 226,322.13 × 57,360.46
  4. Step 4: Simplify right side
    150,862x = 12,981,941,484.98
  5. Step 5: Solve for x
    x = 12,981,941,484.98/150,862
  6. Step 6: Final answer
    x = 86,051.77

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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.