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Finding the Fourth Proportional to 118,913.74, 164,099.10 and 65,199.22

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Solution

The fourth proportional to 118,913.74, 164,099.10 and 65,199.22 is: 89,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,913.74 : 164,099.10 = 65,199.22 : x
  2. Step 2: Convert to fraction form
    118,913.74/164,099.10 = 65,199.22/x
  3. Step 3: Cross multiply
    118,913.74x = 164,099.10 × 65,199.22
  4. Step 4: Simplify right side
    118,913.74x = 10,699,133,322.70
  5. Step 5: Solve for x
    x = 10,699,133,322.70/118,913.74
  6. Step 6: Final answer
    x = 89,973.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.