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Finding the Fourth Proportional to 150,594.94, 225,900 and 38,276.26

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Solution

The fourth proportional to 150,594.94, 225,900 and 38,276.26 is: 57,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,594.94 : 225,900 = 38,276.26 : x
  2. Step 2: Convert to fraction form
    150,594.94/225,900 = 38,276.26/x
  3. Step 3: Cross multiply
    150,594.94x = 225,900 × 38,276.26
  4. Step 4: Simplify right side
    150,594.94x = 8,646,607,134
  5. Step 5: Solve for x
    x = 8,646,607,134/150,594.94
  6. Step 6: Final answer
    x = 57,416.32

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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.