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Finding the Fourth Proportional to 219,035.68, 302,313 and 123,544.24

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Solution

The fourth proportional to 219,035.68, 302,313 and 123,544.24 is: 170,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,035.68 : 302,313 = 123,544.24 : x
  2. Step 2: Convert to fraction form
    219,035.68/302,313 = 123,544.24/x
  3. Step 3: Cross multiply
    219,035.68x = 302,313 × 123,544.24
  4. Step 4: Simplify right side
    219,035.68x = 37,349,029,827.12
  5. Step 5: Solve for x
    x = 37,349,029,827.12/219,035.68
  6. Step 6: Final answer
    x = 170,515.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.