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Finding the Fourth Proportional to 119,200.68, 178,528.86 and 56,914.92

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Solution

The fourth proportional to 119,200.68, 178,528.86 and 56,914.92 is: 85,242.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,200.68 : 178,528.86 = 56,914.92 : x
  2. Step 2: Convert to fraction form
    119,200.68/178,528.86 = 56,914.92/x
  3. Step 3: Cross multiply
    119,200.68x = 178,528.86 × 56,914.92
  4. Step 4: Simplify right side
    119,200.68x = 10,160,955,784.59
  5. Step 5: Solve for x
    x = 10,160,955,784.59/119,200.68
  6. Step 6: Final answer
    x = 85,242.43

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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.