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Finding the Fourth Proportional to 121,219.50, 181,836.54 and 38,113.50

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Solution

The fourth proportional to 121,219.50, 181,836.54 and 38,113.50 is: 57,172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,219.50 : 181,836.54 = 38,113.50 : x
  2. Step 2: Convert to fraction form
    121,219.50/181,836.54 = 38,113.50/x
  3. Step 3: Cross multiply
    121,219.50x = 181,836.54 × 38,113.50
  4. Step 4: Simplify right side
    121,219.50x = 6,930,426,967.29
  5. Step 5: Solve for x
    x = 6,930,426,967.29/121,219.50
  6. Step 6: Final answer
    x = 57,172.54

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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.