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Finding the Fourth Proportional to 197,124.86, 272,032.14 and 106,480.80

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Solution

The fourth proportional to 197,124.86, 272,032.14 and 106,480.80 is: 146,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,124.86 : 272,032.14 = 106,480.80 : x
  2. Step 2: Convert to fraction form
    197,124.86/272,032.14 = 106,480.80/x
  3. Step 3: Cross multiply
    197,124.86x = 272,032.14 × 106,480.80
  4. Step 4: Simplify right side
    197,124.86x = 28,966,200,292.22
  5. Step 5: Solve for x
    x = 28,966,200,292.22/197,124.86
  6. Step 6: Final answer
    x = 146,943.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.