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Finding the Fourth Proportional to 118,642, 163,725.96 and 65,650

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Solution

The fourth proportional to 118,642, 163,725.96 and 65,650 is: 90,597

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,642 : 163,725.96 = 65,650 : x
  2. Step 2: Convert to fraction form
    118,642/163,725.96 = 65,650/x
  3. Step 3: Cross multiply
    118,642x = 163,725.96 × 65,650
  4. Step 4: Simplify right side
    118,642x = 10,748,609,274
  5. Step 5: Solve for x
    x = 10,748,609,274/118,642
  6. Step 6: Final answer
    x = 90,597

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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.