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Finding the Fourth Proportional to 284,095.52, 426,032.53 and 106,505.63

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Solution

The fourth proportional to 284,095.52, 426,032.53 and 106,505.63 is: 159,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,095.52 : 426,032.53 = 106,505.63 : x
  2. Step 2: Convert to fraction form
    284,095.52/426,032.53 = 106,505.63/x
  3. Step 3: Cross multiply
    284,095.52x = 426,032.53 × 106,505.63
  4. Step 4: Simplify right side
    284,095.52x = 45,374,860,611.72
  5. Step 5: Solve for x
    x = 45,374,860,611.72/284,095.52
  6. Step 6: Final answer
    x = 159,716.92

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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.