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Finding the Fourth Proportional to 283,509.11, 425,346.72 and 83,834.68

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Solution

The fourth proportional to 283,509.11, 425,346.72 and 83,834.68 is: 125,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,509.11 : 425,346.72 = 83,834.68 : x
  2. Step 2: Convert to fraction form
    283,509.11/425,346.72 = 83,834.68/x
  3. Step 3: Cross multiply
    283,509.11x = 425,346.72 × 83,834.68
  4. Step 4: Simplify right side
    283,509.11x = 35,658,803,614.34
  5. Step 5: Solve for x
    x = 35,658,803,614.34/283,509.11
  6. Step 6: Final answer
    x = 125,776.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.