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Finding the Fourth Proportional to 107,204.56, 160,814.56 and 28,317.76

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Solution

The fourth proportional to 107,204.56, 160,814.56 and 28,317.76 is: 42,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,204.56 : 160,814.56 = 28,317.76 : x
  2. Step 2: Convert to fraction form
    107,204.56/160,814.56 = 28,317.76/x
  3. Step 3: Cross multiply
    107,204.56x = 160,814.56 × 28,317.76
  4. Step 4: Simplify right side
    107,204.56x = 4,553,908,114.59
  5. Step 5: Solve for x
    x = 4,553,908,114.59/107,204.56
  6. Step 6: Final answer
    x = 42,478.68

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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.