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Finding the Fourth Proportional to 121,274.56, 181,931.28 and 51,164.20

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Solution

The fourth proportional to 121,274.56, 181,931.28 and 51,164.20 is: 76,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,274.56 : 181,931.28 = 51,164.20 : x
  2. Step 2: Convert to fraction form
    121,274.56/181,931.28 = 51,164.20/x
  3. Step 3: Cross multiply
    121,274.56x = 181,931.28 × 51,164.20
  4. Step 4: Simplify right side
    121,274.56x = 9,308,368,396.18
  5. Step 5: Solve for x
    x = 9,308,368,396.18/121,274.56
  6. Step 6: Final answer
    x = 76,754.50

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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.