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Finding the Fourth Proportional to 119,218.50, 178,909.76 and 49,097.81

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Solution

The fourth proportional to 119,218.50, 178,909.76 and 49,097.81 is: 73,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,218.50 : 178,909.76 = 49,097.81 : x
  2. Step 2: Convert to fraction form
    119,218.50/178,909.76 = 49,097.81/x
  3. Step 3: Cross multiply
    119,218.50x = 178,909.76 × 49,097.81
  4. Step 4: Simplify right side
    119,218.50x = 8,784,077,973.64
  5. Step 5: Solve for x
    x = 8,784,077,973.64/119,218.50
  6. Step 6: Final answer
    x = 73,680.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.