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Finding the Fourth Proportional to 235,448.82, 353,165.33 and 102,329.07

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Solution

The fourth proportional to 235,448.82, 353,165.33 and 102,329.07 is: 153,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,448.82 : 353,165.33 = 102,329.07 : x
  2. Step 2: Convert to fraction form
    235,448.82/353,165.33 = 102,329.07/x
  3. Step 3: Cross multiply
    235,448.82x = 353,165.33 × 102,329.07
  4. Step 4: Simplify right side
    235,448.82x = 36,139,078,706.60
  5. Step 5: Solve for x
    x = 36,139,078,706.60/235,448.82
  6. Step 6: Final answer
    x = 153,490.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.