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Finding the Fourth Proportional to 150,218.99, 225,322.59 and 37,897.81

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Solution

The fourth proportional to 150,218.99, 225,322.59 and 37,897.81 is: 56,845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,218.99 : 225,322.59 = 37,897.81 : x
  2. Step 2: Convert to fraction form
    150,218.99/225,322.59 = 37,897.81/x
  3. Step 3: Cross multiply
    150,218.99x = 225,322.59 × 37,897.81
  4. Step 4: Simplify right side
    150,218.99x = 8,539,232,283.34
  5. Step 5: Solve for x
    x = 8,539,232,283.34/150,218.99
  6. Step 6: Final answer
    x = 56,845.23

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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.