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Finding the Fourth Proportional to 150,548.76, 225,823.24 and 38,237.40

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Solution

The fourth proportional to 150,548.76, 225,823.24 and 38,237.40 is: 57,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,548.76 : 225,823.24 = 38,237.40 : x
  2. Step 2: Convert to fraction form
    150,548.76/225,823.24 = 38,237.40/x
  3. Step 3: Cross multiply
    150,548.76x = 225,823.24 × 38,237.40
  4. Step 4: Simplify right side
    150,548.76x = 8,634,893,557.18
  5. Step 5: Solve for x
    x = 8,634,893,557.18/150,548.76
  6. Step 6: Final answer
    x = 57,356.13

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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.