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Finding the Fourth Proportional to 66,905.80, 100,164.30 and 64,961.80

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Solution

The fourth proportional to 66,905.80, 100,164.30 and 64,961.80 is: 97,253.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,905.80 : 100,164.30 = 64,961.80 : x
  2. Step 2: Convert to fraction form
    66,905.80/100,164.30 = 64,961.80/x
  3. Step 3: Cross multiply
    66,905.80x = 100,164.30 × 64,961.80
  4. Step 4: Simplify right side
    66,905.80x = 6,506,853,223.74
  5. Step 5: Solve for x
    x = 6,506,853,223.74/66,905.80
  6. Step 6: Final answer
    x = 97,253.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.