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Finding the Fourth Proportional to 118,925.14, 164,101.62 and 65,195.98

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Solution

The fourth proportional to 118,925.14, 164,101.62 and 65,195.98 is: 89,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,925.14 : 164,101.62 = 65,195.98 : x
  2. Step 2: Convert to fraction form
    118,925.14/164,101.62 = 65,195.98/x
  3. Step 3: Cross multiply
    118,925.14x = 164,101.62 × 65,195.98
  4. Step 4: Simplify right side
    118,925.14x = 10,698,765,935.49
  5. Step 5: Solve for x
    x = 10,698,765,935.49/118,925.14
  6. Step 6: Final answer
    x = 89,962.19

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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.