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Finding the Fourth Proportional to 199,398.40, 299,097.60 and 143,411.20

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Solution

The fourth proportional to 199,398.40, 299,097.60 and 143,411.20 is: 215,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,398.40 : 299,097.60 = 143,411.20 : x
  2. Step 2: Convert to fraction form
    199,398.40/299,097.60 = 143,411.20/x
  3. Step 3: Cross multiply
    199,398.40x = 299,097.60 × 143,411.20
  4. Step 4: Simplify right side
    199,398.40x = 42,893,945,733.12
  5. Step 5: Solve for x
    x = 42,893,945,733.12/199,398.40
  6. Step 6: Final answer
    x = 215,116.80

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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.