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Finding the Fourth Proportional to 98,200.64, 135,516.32 and 53,487.68

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Solution

The fourth proportional to 98,200.64, 135,516.32 and 53,487.68 is: 73,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,200.64 : 135,516.32 = 53,487.68 : x
  2. Step 2: Convert to fraction form
    98,200.64/135,516.32 = 53,487.68/x
  3. Step 3: Cross multiply
    98,200.64x = 135,516.32 × 53,487.68
  4. Step 4: Simplify right side
    98,200.64x = 7,248,453,558.94
  5. Step 5: Solve for x
    x = 7,248,453,558.94/98,200.64
  6. Step 6: Final answer
    x = 73,812.69

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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.