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Finding the Fourth Proportional to 284,731.20, 426,805.20 and 166,341.60

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Solution

The fourth proportional to 284,731.20, 426,805.20 and 166,341.60 is: 249,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,731.20 : 426,805.20 = 166,341.60 : x
  2. Step 2: Convert to fraction form
    284,731.20/426,805.20 = 166,341.60/x
  3. Step 3: Cross multiply
    284,731.20x = 426,805.20 × 166,341.60
  4. Step 4: Simplify right side
    284,731.20x = 70,995,459,856.32
  5. Step 5: Solve for x
    x = 70,995,459,856.32/284,731.20
  6. Step 6: Final answer
    x = 249,342.05

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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.