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Finding the Fourth Proportional to 283,036.86, 424,541.43 and 105,530.01

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Solution

The fourth proportional to 283,036.86, 424,541.43 and 105,530.01 is: 158,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,036.86 : 424,541.43 = 105,530.01 : x
  2. Step 2: Convert to fraction form
    283,036.86/424,541.43 = 105,530.01/x
  3. Step 3: Cross multiply
    283,036.86x = 424,541.43 × 105,530.01
  4. Step 4: Simplify right side
    283,036.86x = 44,801,861,353.31
  5. Step 5: Solve for x
    x = 44,801,861,353.31/283,036.86
  6. Step 6: Final answer
    x = 158,289.85

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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.