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Finding the Fourth Proportional to 102,042.35, 153,029.49 and 42,866.99

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Solution

The fourth proportional to 102,042.35, 153,029.49 and 42,866.99 is: 64,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042.35 : 153,029.49 = 42,866.99 : x
  2. Step 2: Convert to fraction form
    102,042.35/153,029.49 = 42,866.99/x
  3. Step 3: Cross multiply
    102,042.35x = 153,029.49 × 42,866.99
  4. Step 4: Simplify right side
    102,042.35x = 6,559,912,852.39
  5. Step 5: Solve for x
    x = 6,559,912,852.39/102,042.35
  6. Step 6: Final answer
    x = 64,286.18

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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.