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Finding the Fourth Proportional to 238,960.53, 358,302.69 and 142,993.35

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Solution

The fourth proportional to 238,960.53, 358,302.69 and 142,993.35 is: 214,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,960.53 : 358,302.69 = 142,993.35 : x
  2. Step 2: Convert to fraction form
    238,960.53/358,302.69 = 142,993.35/x
  3. Step 3: Cross multiply
    238,960.53x = 358,302.69 × 142,993.35
  4. Step 4: Simplify right side
    238,960.53x = 51,234,901,957.11
  5. Step 5: Solve for x
    x = 51,234,901,957.11/238,960.53
  6. Step 6: Final answer
    x = 214,407.38

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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.