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Finding the Fourth Proportional to 284,657.96, 426,658.20 and 107,051.60

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Solution

The fourth proportional to 284,657.96, 426,658.20 and 107,051.60 is: 160,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,657.96 : 426,658.20 = 107,051.60 : x
  2. Step 2: Convert to fraction form
    284,657.96/426,658.20 = 107,051.60/x
  3. Step 3: Cross multiply
    284,657.96x = 426,658.20 × 107,051.60
  4. Step 4: Simplify right side
    284,657.96x = 45,674,442,963.12
  5. Step 5: Solve for x
    x = 45,674,442,963.12/284,657.96
  6. Step 6: Final answer
    x = 160,453.77

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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.