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Finding the Fourth Proportional to 150,547.76, 225,821.73 and 38,236.40

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Solution

The fourth proportional to 150,547.76, 225,821.73 and 38,236.40 is: 57,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,547.76 : 225,821.73 = 38,236.40 : x
  2. Step 2: Convert to fraction form
    150,547.76/225,821.73 = 38,236.40/x
  3. Step 3: Cross multiply
    150,547.76x = 225,821.73 × 38,236.40
  4. Step 4: Simplify right side
    150,547.76x = 8,634,608,867.86
  5. Step 5: Solve for x
    x = 8,634,608,867.86/150,547.76
  6. Step 6: Final answer
    x = 57,354.62

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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.