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Finding the Fourth Proportional to 102,383.69, 153,502.74 and 39,150.54

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Solution

The fourth proportional to 102,383.69, 153,502.74 and 39,150.54 is: 58,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,383.69 : 153,502.74 = 39,150.54 : x
  2. Step 2: Convert to fraction form
    102,383.69/153,502.74 = 39,150.54/x
  3. Step 3: Cross multiply
    102,383.69x = 153,502.74 × 39,150.54
  4. Step 4: Simplify right side
    102,383.69x = 6,009,715,162.48
  5. Step 5: Solve for x
    x = 6,009,715,162.48/102,383.69
  6. Step 6: Final answer
    x = 58,697.98

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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.