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Finding the Fourth Proportional to 145,480.66, 200,739.84 and 81,814.66

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Solution

The fourth proportional to 145,480.66, 200,739.84 and 81,814.66 is: 112,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,480.66 : 200,739.84 = 81,814.66 : x
  2. Step 2: Convert to fraction form
    145,480.66/200,739.84 = 81,814.66/x
  3. Step 3: Cross multiply
    145,480.66x = 200,739.84 × 81,814.66
  4. Step 4: Simplify right side
    145,480.66x = 16,423,461,758.05
  5. Step 5: Solve for x
    x = 16,423,461,758.05/145,480.66
  6. Step 6: Final answer
    x = 112,891.03

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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.