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Finding the Fourth Proportional to 121,407.60, 182,128.06 and 41,424.12

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Solution

The fourth proportional to 121,407.60, 182,128.06 and 41,424.12 is: 62,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,407.60 : 182,128.06 = 41,424.12 : x
  2. Step 2: Convert to fraction form
    121,407.60/182,128.06 = 41,424.12/x
  3. Step 3: Cross multiply
    121,407.60x = 182,128.06 × 41,424.12
  4. Step 4: Simplify right side
    121,407.60x = 7,544,494,612.81
  5. Step 5: Solve for x
    x = 7,544,494,612.81/121,407.60
  6. Step 6: Final answer
    x = 62,141.86

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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.