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Finding the Fourth Proportional to 284,581.64, 426,889.14 and 107,090.18

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Solution

The fourth proportional to 284,581.64, 426,889.14 and 107,090.18 is: 160,641.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,581.64 : 426,889.14 = 107,090.18 : x
  2. Step 2: Convert to fraction form
    284,581.64/426,889.14 = 107,090.18/x
  3. Step 3: Cross multiply
    284,581.64x = 426,889.14 × 107,090.18
  4. Step 4: Simplify right side
    284,581.64x = 45,715,634,842.65
  5. Step 5: Solve for x
    x = 45,715,634,842.65/284,581.64
  6. Step 6: Final answer
    x = 160,641.55

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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.