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Finding the Fourth Proportional to 200,802.64, 301,674.64 and 189,454.56

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Solution

The fourth proportional to 200,802.64, 301,674.64 and 189,454.56 is: 284,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,802.64 : 301,674.64 = 189,454.56 : x
  2. Step 2: Convert to fraction form
    200,802.64/301,674.64 = 189,454.56/x
  3. Step 3: Cross multiply
    200,802.64x = 301,674.64 × 189,454.56
  4. Step 4: Simplify right side
    200,802.64x = 57,153,636,184.36
  5. Step 5: Solve for x
    x = 57,153,636,184.36/200,802.64
  6. Step 6: Final answer
    x = 284,625.92

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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.