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Finding the Fourth Proportional to 197,400.63, 272,412.09 and 106,756.71

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Solution

The fourth proportional to 197,400.63, 272,412.09 and 106,756.71 is: 147,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,400.63 : 272,412.09 = 106,756.71 : x
  2. Step 2: Convert to fraction form
    197,400.63/272,412.09 = 106,756.71/x
  3. Step 3: Cross multiply
    197,400.63x = 272,412.09 × 106,756.71
  4. Step 4: Simplify right side
    197,400.63x = 29,081,818,492.62
  5. Step 5: Solve for x
    x = 29,081,818,492.62/197,400.63
  6. Step 6: Final answer
    x = 147,323.84

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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.