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Finding the Fourth Proportional to 118,106.64, 162,946.49 and 82,283.58

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Solution

The fourth proportional to 118,106.64, 162,946.49 and 82,283.58 is: 113,523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,106.64 : 162,946.49 = 82,283.58 : x
  2. Step 2: Convert to fraction form
    118,106.64/162,946.49 = 82,283.58/x
  3. Step 3: Cross multiply
    118,106.64x = 162,946.49 × 82,283.58
  4. Step 4: Simplify right side
    118,106.64x = 13,407,820,134.22
  5. Step 5: Solve for x
    x = 13,407,820,134.22/118,106.64
  6. Step 6: Final answer
    x = 113,523.00

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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.