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Finding the Fourth Proportional to 150,858, 226,316.13 and 57,356.46

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Solution

The fourth proportional to 150,858, 226,316.13 and 57,356.46 is: 86,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,858 : 226,316.13 = 57,356.46 : x
  2. Step 2: Convert to fraction form
    150,858/226,316.13 = 57,356.46/x
  3. Step 3: Cross multiply
    150,858x = 226,316.13 × 57,356.46
  4. Step 4: Simplify right side
    150,858x = 12,980,692,057.70
  5. Step 5: Solve for x
    x = 12,980,692,057.70/150,858
  6. Step 6: Final answer
    x = 86,045.77

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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.