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Finding the Fourth Proportional to 200,346.21, 300,472.16 and 58,153.95

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Solution

The fourth proportional to 200,346.21, 300,472.16 and 58,153.95 is: 87,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,346.21 : 300,472.16 = 58,153.95 : x
  2. Step 2: Convert to fraction form
    200,346.21/300,472.16 = 58,153.95/x
  3. Step 3: Cross multiply
    200,346.21x = 300,472.16 × 58,153.95
  4. Step 4: Simplify right side
    200,346.21x = 17,473,642,678.26
  5. Step 5: Solve for x
    x = 17,473,642,678.26/200,346.21
  6. Step 6: Final answer
    x = 87,217.24

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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.