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Finding the Fourth Proportional to 102,205.46, 153,308.88 and 39,008.54

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Solution

The fourth proportional to 102,205.46, 153,308.88 and 39,008.54 is: 58,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,205.46 : 153,308.88 = 39,008.54 : x
  2. Step 2: Convert to fraction form
    102,205.46/153,308.88 = 39,008.54/x
  3. Step 3: Cross multiply
    102,205.46x = 153,308.88 × 39,008.54
  4. Step 4: Simplify right side
    102,205.46x = 5,980,354,811.29
  5. Step 5: Solve for x
    x = 5,980,354,811.29/102,205.46
  6. Step 6: Final answer
    x = 58,513.07

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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.