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Finding the Fourth Proportional to 102,308.94, 153,439.10 and 39,105.84

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Solution

The fourth proportional to 102,308.94, 153,439.10 and 39,105.84 is: 58,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,308.94 : 153,439.10 = 39,105.84 : x
  2. Step 2: Convert to fraction form
    102,308.94/153,439.10 = 39,105.84/x
  3. Step 3: Cross multiply
    102,308.94x = 153,439.10 × 39,105.84
  4. Step 4: Simplify right side
    102,308.94x = 6,000,364,894.34
  5. Step 5: Solve for x
    x = 6,000,364,894.34/102,308.94
  6. Step 6: Final answer
    x = 58,649.47

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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.