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Finding the Fourth Proportional to 200,899.04, 301,543 and 147,754.40

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Solution

The fourth proportional to 200,899.04, 301,543 and 147,754.40 is: 221,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,899.04 : 301,543 = 147,754.40 : x
  2. Step 2: Convert to fraction form
    200,899.04/301,543 = 147,754.40/x
  3. Step 3: Cross multiply
    200,899.04x = 301,543 × 147,754.40
  4. Step 4: Simplify right side
    200,899.04x = 44,554,305,039.20
  5. Step 5: Solve for x
    x = 44,554,305,039.20/200,899.04
  6. Step 6: Final answer
    x = 221,774.60

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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.