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Finding the Fourth Proportional to 284,165.46, 426,109.95 and 165,875.22

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Solution

The fourth proportional to 284,165.46, 426,109.95 and 165,875.22 is: 248,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,165.46 : 426,109.95 = 165,875.22 : x
  2. Step 2: Convert to fraction form
    284,165.46/426,109.95 = 165,875.22/x
  3. Step 3: Cross multiply
    284,165.46x = 426,109.95 × 165,875.22
  4. Step 4: Simplify right side
    284,165.46x = 70,681,081,700.44
  5. Step 5: Solve for x
    x = 70,681,081,700.44/284,165.46
  6. Step 6: Final answer
    x = 248,732.14

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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.