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Finding the Fourth Proportional to 150,547.95, 225,822.01 and 38,236.59

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Solution

The fourth proportional to 150,547.95, 225,822.01 and 38,236.59 is: 57,354.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,547.95 : 225,822.01 = 38,236.59 : x
  2. Step 2: Convert to fraction form
    150,547.95/225,822.01 = 38,236.59/x
  3. Step 3: Cross multiply
    150,547.95x = 225,822.01 × 38,236.59
  4. Step 4: Simplify right side
    150,547.95x = 8,634,663,609.35
  5. Step 5: Solve for x
    x = 8,634,663,609.35/150,547.95
  6. Step 6: Final answer
    x = 57,354.91

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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.