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Finding the Fourth Proportional to 262,814.40, 362,666.88 and 149,636.16

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Solution

The fourth proportional to 262,814.40, 362,666.88 and 149,636.16 is: 206,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,814.40 : 362,666.88 = 149,636.16 : x
  2. Step 2: Convert to fraction form
    262,814.40/362,666.88 = 149,636.16/x
  3. Step 3: Cross multiply
    262,814.40x = 362,666.88 × 149,636.16
  4. Step 4: Simplify right side
    262,814.40x = 54,268,079,282.38
  5. Step 5: Solve for x
    x = 54,268,079,282.38/262,814.40
  6. Step 6: Final answer
    x = 206,488.23

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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.