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Finding the Fourth Proportional to 197,142.59, 272,056.50 and 112,259.65

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Solution

The fourth proportional to 197,142.59, 272,056.50 and 112,259.65 is: 154,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,142.59 : 272,056.50 = 112,259.65 : x
  2. Step 2: Convert to fraction form
    197,142.59/272,056.50 = 112,259.65/x
  3. Step 3: Cross multiply
    197,142.59x = 272,056.50 × 112,259.65
  4. Step 4: Simplify right side
    197,142.59x = 30,540,966,790.08
  5. Step 5: Solve for x
    x = 30,540,966,790.08/197,142.59
  6. Step 6: Final answer
    x = 154,918.16

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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.