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Finding the Fourth Proportional to 166,646.64, 250,053.80 and 66,878.13

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Solution

The fourth proportional to 166,646.64, 250,053.80 and 66,878.13 is: 100,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,646.64 : 250,053.80 = 66,878.13 : x
  2. Step 2: Convert to fraction form
    166,646.64/250,053.80 = 66,878.13/x
  3. Step 3: Cross multiply
    166,646.64x = 250,053.80 × 66,878.13
  4. Step 4: Simplify right side
    166,646.64x = 16,723,130,209.00
  5. Step 5: Solve for x
    x = 16,723,130,209.00/166,646.64
  6. Step 6: Final answer
    x = 100,350.84

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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.