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Finding the Fourth Proportional to 118,123.80, 163,004.85 and 64,408.38

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Solution

The fourth proportional to 118,123.80, 163,004.85 and 64,408.38 is: 88,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,123.80 : 163,004.85 = 64,408.38 : x
  2. Step 2: Convert to fraction form
    118,123.80/163,004.85 = 64,408.38/x
  3. Step 3: Cross multiply
    118,123.80x = 163,004.85 × 64,408.38
  4. Step 4: Simplify right side
    118,123.80x = 10,498,878,320.64
  5. Step 5: Solve for x
    x = 10,498,878,320.64/118,123.80
  6. Step 6: Final answer
    x = 88,880.30

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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.